{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "42c197ec",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "\n",
    "IMAGE_ROOT = '/data/user/zhangdonghao/openCV_test/Template'\n",
    "\n",
    "\n",
    "# 封装成小函数\n",
    "def cv_show(name, img):\n",
    "    cv2.imshow(name, img)\n",
    "    cv2.waitKey()\n",
    "    cv2.destroyAllWindows()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "835f4a24",
   "metadata": {},
   "source": [
    "##### 直方图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0812a128",
   "metadata": {},
   "source": [
    "**cv2.calcHist(images, channels, mask, histSize, ranges)**  \n",
    "* images：原图像格式为uinit8或float32。当传入函数时应 用中括号[]括，例如[img]。\n",
    "* channels：同样用中括号括，它会告诉函数我们整幅图像的直方图。如果入图像是灰度图它的值就是[0]，如果是彩色图像的传入，参数可以是[0]、[1]、[2]，它们分别对应BGR。\n",
    "* mask：掩膜图像。统计整幅图像就设为None，如果像指定某一部分的就设计一个掩膜图像并使用它。\n",
    "* histSize：BIN的数目。\n",
    "* ranges：像素值范围常为[0, 256]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4ba2443f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(256, 1)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img = cv2.imread(os.path.join(IMAGE_ROOT, 'maliya.png'), 0) # 0表示灰度图\n",
    "hist = cv2.calcHist([img], [0], None, [256], [0, 256])\n",
    "hist.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "da88449c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(img.ravel(), 256) # .ravel()用来将多维数组展平成一维数组\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0ac05b10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 循环遍历\n",
    "img = cv2.imread(os.path.join(IMAGE_ROOT, 'maliya.png'))\n",
    "color = (\"b\", \"g\", \"r\")\n",
    "for i, col in enumerate(color):\n",
    "    histr = cv2.calcHist([img], [i], None, [256], [0, 256])\n",
    "    plt.plot(histr, color = col)\n",
    "    plt.xlim([0, 256])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9ab9c7c3",
   "metadata": {},
   "outputs": [
    {
     "ename": "",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m在当前单元格或上一个单元格中执行代码时 Kernel 崩溃。\n",
      "\u001b[1;31m请查看单元格中的代码，以确定故障的可能原因。\n",
      "\u001b[1;31m单击<a href='https://aka.ms/vscodeJupyterKernelCrash'>此处</a>了解详细信息。\n",
      "\u001b[1;31m有关更多详细信息，请查看 Jupyter <a href='command:jupyter.viewOutput'>log</a>。"
     ]
    }
   ],
   "source": [
    "# mask操作\n",
    "img = cv2.imread(os.path.join(IMAGE_ROOT, 'maliya.png'), 0)\n",
    "mask = np.zeros(img.shape[:2], np.uint8)\n",
    "mask[100:700, 100:700] = 255\n",
    "cv_show(\"mask\", mask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "0de2206f",
   "metadata": {},
   "outputs": [],
   "source": [
    "masked_img = cv2.bitwise_and(img, img, mask = mask) # 与操作\n",
    "cv_show(\"masked_img\", masked_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "dbf07f86",
   "metadata": {},
   "outputs": [],
   "source": [
    "hist_full = cv2.calcHist([img], [0], None, [256], [0, 256])\n",
    "hist_mask = cv2.calcHist([img], [0], mask, [256], [0, 256])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "4f1711e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAAGiCAYAAAC/AV8QAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjYsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvq6yFwwAAAAlwSFlzAAAPYQAAD2EBqD+naQAA4PtJREFUeJztnQeYFdX5xs9Sxd67qLFXYi+xg12sMRobMUajoomav4XErgmJJmpsqImKxq4RWxQ1oNh7wYK9F+wgiiKw9//8Dnkv3x5m7t5l293Z732e4e6dM3PmzJnLfO/5al2pVCoFh8PhcDgcjmagS3NOdjgcDofD4QBOKBwOh8PhcDQbTigcDofD4XA0G04oHA6Hw+FwNBtOKBwOh8PhcDQbTigcDofD4XA0G04oHA6Hw+FwNBtOKBwOh8PhcDQbTigcDofD4XA0G04oHA6Hw+FwFJtQXHDBBWGppZYKs8wyS1hvvfXCE0880d5DcjgcHQD+7nA42h41Syiuv/76cNRRR4WTTjopPPPMM6FPnz5h6623Dp9++ml7D83hcNQw/N3hcLQP6mq1OBirinXWWSecf/758Xt9fX1YYoklwuGHHx6OO+649h6ew+GoUfi7w+FoH3QLNYgffvghPP3002HQoEHlfV26dAn9+vULjz76aOY5kyZNipvAS+TLL78M8803X6irq2uTcTsc1QIeP2HChLDooovG37ajfd4d/t5wdCSUavy9UZOE4vPPPw9Tp04NCy20UIP9fH/llVcyzxk8eHA45ZRT2miEDkfL4P333w+LL754ew+jMGjqu8PfG46OiPdr9L1Rk4RiZsCKBLupMH78+NC7d+/wpz/9Kay00kqR2U2ePDl89dVXceWx4IILRoctViQcS5tWKmKBc889d5htttnCd999F+aYY454fNeuXcsrF1mLWBUB+hJr5KXG8Xynb76z3XjjjeGzzz4L8847b5h11lln6CtrVZS28Z2xMkb61D7a+f7tt9+GTTfdNKy77rqhe/fuoVu3buX745rcQ48ePcJbb70V2xgLczV27Ng4F3POOWdspy/2ffjhh3EuFllkkXg/3C9tnKtN6NmzZ/xkbIyHfpgXrs8YdX3mlH6YXzbGzMbxXJ9jvv7669gX1/z+++/juZxHX3PNNVd5v+aaa3MtvnOMNnsu80G/fGebMmVKeR/nMhauz9g5jzHTr8avfRzHdRjvm2++GcfLqpZPxkUb/fXq1Svew0cffRQWWGCBeDzzxXW33377+Lty1N57w+GoZcxRo++NmiQU888/f3wxf/LJJw32833hhRfOPIeXvoSZxeyzzx6FIf0hsBAivOgRSBK0nIcAQOAgLGjXyx/QJkIB6MsKeQQjAgKIQGhM+qR91KhRUXDxXUIzjzDkEQ2RCQQb10rVXghHERuEHgKNcxkT12M++M5x88wzT3kf9wcJYA4YH/sYs9rYR3+cy9/cM/PH+fTFfglf/c04mEPGwpjZp/FoDDwP9jHHHMffXIe+RZY4lu/sF6HhmfI8IIiMk+vq+YjAcRzX4L4Ypwie5pdr08Y4dS/cq+aIY/nkusy3iJT28Z1zdC7jgJzZ7/pN0S/ncE361e/F1ert++7Ie284HLWMuhp9b9SeESaEKITWWmutMGLEiPI+Xvp832CDDZrUl4SD+uU7L3YJc17uCB32QzKkOUAAcAwb1wYSkqkfqwS7BBDt9GmJBoJFXuaLLbZYFG4SrNqE9O+UTLCKQrDxPcunluMfeeSR8Oqrr4ZvvvkmCkPt5zsCd9y4cWXyo/uToKMNQT1x4sR4He4lJVESzGwiNbp3NpEBHae5kTaDT3tv9h51LJvmWwSEDdIhbRHPjb50DuNnE0GRpkDaBPqCWEobxT49J/rmHM2H7kfjZqMNEgIxZC7pi/3YNNnozz5T+kRgob3Q706bo7bfHQ6HowAaCoAacsCAAWHttdeOqvtzzjknvrz333//JvWD4EFY2Be9JQDACi4gISKBYs0KFvpuBSD7rPDhugivkSNHhvfeey8KHanBJVQkAO31NS57LZEJCbysY/jOPSP0IBL0LRW7JSAyjwBdW4KV4/nO3/TDZ6oJsWYOxmPNPVrxSysh8wXC1c4tx3FNPRsRMauhsfdHnxwLCdJzpA/O0XPQuEUo+JtjdLyeDUTEjlfHMFb1b8mN5oa/+R1qnniWkE8+pR2y8yzyQLvGp7E6avvd4XA4CkIo9thjj+hrcOKJJ0Y7/o9//OMwfPjwGZytGgMvefkvoCUACFwRBWkdgBUqCAwEi1bEUqvrOJAKPgkgqcX5G0GKd/nLL78cz7fmAUFCTsIv7b8xMmGFdNpmwT7mQLZ9xiPthRXGXEf+DGgpOIbVtSU88iWxY7VC1M4L86h7lNAV2bJaAGkI1IdIjsYnTYE0DhL0unfGKZ8K+TJwvPrQsTx/9aMxy8+D+9Xz1j1Y0wXnYSqib8wuKYmwJE3j1jjsfn06avfd4XA4CkIowGGHHRa35oAVNitIBA1CUgJdpgy7ahTxkMCTjRzBa00kEqQShmpD6FvtB9fG9PDcc89FMwovNJGSVOBLWAFLLEQm5DSYnpPldyHo/tSPVu181yqevvnkO/fLOEUsgBxHNS/Mn+ZSZiGr+bFmIflByHdCfg0ytegahOnJ6REzAuYBICKgPl9//fWygyQOpXpm7MN2jtZBgprjRTBERPQ8ZRZhwwzFcwIQKcBz4j6ZGxEJOXrK98USEvlWpJoq/UZ0riV9undH7b47HA5HgQhFS4AXN8JYBAIBwcY+OdohCFgty1cAIUq7TCXAah7sqlpChPMksLgODpiE9rz99tuxP5k67Mo0S7UvQSwhhuBmLHkr2iwiIdi+7fitCcQKXsD9SthqNc8xiogQSaA/aQHsKt+u7C3RYm4U44+2Q8KYZ4FWgGMkqBkLJEHEg/20M5ecSxvEg/34ozA2jUv3xvE2ykNAu0BUBkSC4+hHGhvGzXlyCuU6q6yySvn5ApFLzuFcCIaNsLGOtiIU+i7TTK06VDkcDkdzUHhCIYc9INIg04QcI2Xrl5BT5IJWwwg9a3O3ZELn0YeE3AMPPBC1ErQTK8x1rN+EjV7Ig9T5lkw0Fv2RpfWQEyJgjNIyWN8DEQO+K0JCmgzuHfUxwhcVf2oasuYbzYVU/Fbzw36RLjlASnvB8Wg7FDkC6eA7wl+aEx3H+BSdwv3Y+xcRog85bTJ+jsHRlDTMPAdCOHlWcgxNIbJBpA+EgvuGlEi7oXsWYZHjqjV7CZoPjUv7spxpHQ6HoyOj8IQC9TnCScIf4SQikQpeCQmEh4QWx0vtrT7sSlTnQzg4F3+J0aNHx/5J98tq10KCONVUCAgekvPIT8CqxhsjIOl3iADJfPDfkFAWIFcrrLBC3PfFF1+UNSF8R5AKCG2NQQ6GCou0pg4gvwidJ+dM5pvoGeYV0wREjeuhmeDZ8IykMUHboJBeIk30rJiL5Zdfvmw+oP8XX3yxHM6q60gTIrLy4IMPlh1UIRV6bvLXSAkakGljww03jGPjGvrtyFfD5rxQiC59WudXkTKZZTQ3NtrF4XA4ioLCv9UkBOWXoBc+sCtKrSSlGbB+BPKJsCGEWmVqtQ7peOihh8Kzzz4bvy+55JJROKaw5oDUjMH1iJeX70BexIcde5Zmgu8IOEwE7777blkbY8G4x4wZ0+A63AP3BqHQdeVjgfmGczDdSNVv/UqUe8P2L02EHC4hECIijMcSNZkqRB70TGxUDufIrAFBQdMgQS6fF/pkfJicuHfIhHUITZ9DCiXN2mWXXSJJVF4J+WDQP33ybEWMOF6/M2t2kV9I6mMic5HD4XAUCYUnFHqZ2xBNCTjrnGijKxTdIfOIIkSs2UNRCOqD+gGo1BEmaCbkzJhFCCypQEhJ8KDqF5nJi9iopk2ZMBkH94Dw/9GPflRRwwFxIG9FSnIUgsr9Y8qRUETQrrrqqvFakAzdbxpqazOGCtK8WOdFzaOcNW2kSBrZonuE+EhbwvgxVaC1ePLJJ8tOkNw/x7HhO2HrNqTzyXUhB7vttls0VVnfCu5fJh80P+xT8q+PP/64HJ4s8wbXl0ZDib1k9tJ1HQ6Ho0goPKFIw0KtCUGq7KxzgNTraRIqZWDUavrhhx8Ojz32WBTiaCYQ4FYTkmoSNCZW7KxwFV0gZBGGSqGhtk0alOWWWy6sscYaM6yErUOp/WTsxO1b2PwTaAMUWcG4Ed5KHgS5QFhCMEjPjaC12hzNozUtaVzKVGr9EqxGSOdJu2D9T5g3+oEoEB4I4dGzll8IJhZMO5wPKUBro/MhD3xiWrGVKiET0pDI0Vbjw0QDsZCpRaYi6wDLGNnH2BWCqjwcysqaRuw4HA5HR0fhCUX64pY5gRe/nPgECWRFe0iwsfoWgQBaQfMJkRCZoAYAZALYSI10LIp2YLPI0mZUCg3NctJU+mqEol3l6xhLcqwQzCJWkAjIAgSB/lSMhjnEXKK5RJgjlDHXcP0VV1wxzgXHMy/0gyC26n4bKQIUOaHVvbQ3ch619yH/CMaFVoUcA3LQVH/8DZnA7wJCiBlE4aFAbZyHdqkS+ZPfiBxJ0fzwyfW5P/q2OS+kZdFvjDaIh55HlonI4XA4OjoKTyjS3AtWqEtTILW5VNQiGRIgEnACx3AeK+LHH388rjrRTCA0U+GflVGS1T0Ogo35Sdj2attkCmgsiU9jDp7SQignhG1DiPbp06e8D00BjopvvPFGJBU4pZIzAm0Fjo1yVrQZLNWX5jLN4aCoCCuERdBwMiXrKIL8pZdeiqTAzrP64fqQK85jvnF2BRSGQ4PDMfSj3wFmIYiGzdth638oFPWdd96Jc4CpR9oHjVnPg/OYF0X+UEdCpKTS83Q4HI6OisITCluEyYZ52gRIch7Ud5tUSitPG8nA3/fff3+01XPe0ksvHdXn1ryShlOygmeFzN8IGdum45sSGprnmwGRWHPNNWcwj9gxZQmz1ATCnBDpooJgqUbDgnvXhn8BQhonTkwkfDI/EBMEvJw5bWiuJRiKoJEWQ4RP2gf6u/POO2NkikieyISdc4S9tEXMO1oSSybQLvBM6EfzSU4LNDIiOSoeZ3OY6Dkybo0BsqDQUTmOAogd5ynCQxlas4q6OYoBzIxU+nW0Hfg/efXVV3uyuBpApyAU1lnR5kGQ4JQmQnU3FF2Q5dCp0NCnnnoqChz8Bmw+Axt9QT+oulnp20JhzdEcVALjgFBYEpCenxKSvDYEty2RW+k8IMGLIEfA4reAAEaDgNMiq3rGxX7mDE2AJWwyn6i8t+Zcgpp9EJWbbropCvK0uJgdD31CJpSVVKXeITUiE+pb9yTzi7QocrpF84K2hv0qKsa8qB4IGhBlU1XyMJlJ2Dhf5FQVYj3Co7iATJx99tntPYxOBcyeN954oxOKGkDhCYUgm7VyFthVt10xKiQU2P0IPEJC0UrIKZMaAQgVq3GQFgThg1BW4qOZDf+sto0NQWdNHXkkoLE2AY1CtefZLJC0QRgABEPZOCFhL7zwQvS/WGmllcKyyy4bV+2QCOtLodofIhdsmFJ4aUAmbPhnFrgmmoi0GBe+MHKw5Zm99tprZS3IMsssE8mOfB/YBxFSJkyZapgTmVgUtaHfk35j1vnUmtBUyt1qshwOh6MoKDyhsCtfrXaBDUmUvV5CQULR1tJ4/vnno5mD48ieiGpcfUFSVOpbaaYhE2mIYp5DZXPb2DBP/OQnP4naAQlEa35pijlF+2059mrNMOl3mSOYq4022ihqLSBl+FigccDMgHMkZEhaIyWdUn8ffvhhGDZsWFRt5uWSsNeVUy1QyC/mGEwvCheG8EFy9JxFXpSZlOvjc6EModJmKJxY4b3ys1BfVpsFpJHgGKUXt0TH4XA4ioLCEwor1GwGRftCVwltvexlP1dOAZwM77vvvngM6npWv7Z/2c4RQBAJyEWeaaDa8M9q29gQeJtttlmMrBBs8S3B+oZY0mHt+XJgFBmy92F9LGamTcJ48803j/vxa0Drg8oS7QDmCO5FvhR8Mp933XVXAzKRRSTyzEEQB4gLREvnc2+EmjJHyjWBVkPaEpnCFM6qCq1KA84+RaAoxbeIiSU8aYp1qxlzQuFwOIqGwhOKLAGqfYo8QDjYFNkSKgDNhMjEyiuvXFbh23oMCBxCJ/GVQIBlmTfSlXtLtEkzITJhj5PwTudCGht8Chgz5AdhblfNRCeg2repqe39ZDlnijA05h8gjQ9Q8ijGQUIqCAa5MBD0mG7o84knnojhtSmZqDQvaBl4DiJ5CulVH9YkAdCSrLbaavF+0WTo+WsOBOXUUEE5lXW3FWT1OxMhsinK5Yia5d/icDgcHR2FJxTSSNiXul7m0kRYz3tVG+WTVNqEhsr5EjIBJGToG6GC+p7oBlApJLAl2/iOk+F2221XjiawbVlQVVU0EIResmpXvgp7HVXaVD9S2TcG+QhUozFSRVAEPXkdIBAQGbQRmD923nnnsqC2uSWqmTP8LBRdwXOxGSotdK5KzYtA6begkFP5yFgypsyg0mTpt2Q1PnLS1H5pPeirmvl0OByOjoTCEwpBJMIWb2JTdIJtR7CpyBerdxwvUzMHAgJVPSthZVrMWzU35nfQ1DYEFT4c/fv3j7kTbBlue156LgKRe+J4nBBZmUt9byt3yoFRUR6KxKgGWQI+Ffwqia6oGq6/1FJLxX2YPMjtccMNN0TCY0uPp8+y0pzZ7Jd5sM+cMSiVtrQMaJwYo8gGc0ybklTJt0KVVPW7SB19lf+Ea0hz4RoKh8NRNBSeUCjKQnkNeKmzafVp02jreKIRiADAps8KOtVqoJFADY+gyRLilbQEzW1DsKNVwA8BUgAYP8Kf+1OpckHj4j4x37BCJimVNYfYKAuOY4UP2ZCGoLnIMpvIX0XREoyb8TPfCHb8HkiUpbTWMztn1YyLsXBNIjpEDhgLGiD9RiAPtENUGKs0EoxdkSiWlOk3lzqsAkW9OBwOR5FQeEJh7dnSSMhZTitTVZjUCl5Ogqji06JWCDmqWKZhf9bZLss80Zw2IHMMGTn79etXToOt42xFTRuBgJBD7U8NCwgCfiBZYZciFAhM5gLfDIssv5C8tsYEvCVfWskjrBkvWgBMOIyBsFJIEPPNfdjrzMx85kHaAzbrwItvDNdl7tCWaF7xm1CpdGkoFMEhDYX6EWkSKbXl0x0Oh6NIKDyhsFEdvOzTIlXahyB75ZVXwiOPPBLDGCET1rdAKZdTMpHlKNmSbfL7wMQhB0zIRBrOmeXvwDgZL2GaEBH8QNKIDns+G9EP5JDQcZWIBEh9JjjO+l/kOWVaUmETiUEkAMKa+6BYF/uZ+3RV35T5tAnOUkizQxtjE1lTbRLGQTsbz0HkTr8LG02jyKC0BLu9fmMaF4fD4eiIKDyh0MvbCjBr70ZIYStHxU4II2YEhK9VXWMCYOXOStWGRaaCIbXpt0Qbq1uIBEJ+4403jkQnPS8L9AVBwnwDQSJ6AgHHqhvYuibqK82PkBKOlDzIybNaqK/UIVFaI2mSAKREKavJr4FpATMTYaQS0tXOpzQf6pPnj0ZEZhYdR/+qAistgrQ1aCX4DTB/aQp3OWIqn4mtNKtQUZsgTZlZHQ6Ho0ho8YICgwcPDuuss0606ePIiLc+JgQLhPjAgQOjjRrb9W677RZXgxYI+O233z46B9LP0UcfPVOpVbXCl0lAXvZStZM0Ca0Eq3jIBE6Olkwwjueeey7WpUjzB6R+Ey3dxniZo3XXXTf07du3TCashiWrL8ZNymvuCT8QnocSN/Fc2JQ1Un4SnIdAlcBU2KnmTbUo7NYUMpF134LyeNjr6foIfswN/Ba23XbbSCxSgtjYfMrRVmnVVcxNZgf8NCALlkBpDpgn/W64tp0baR4gRMpLoflXhAewVVTV7oSitt8bDoejBgjFqFGj4n96Snrfe++98SW61VZbNXAWPPLII8Ptt98eUylzPPkHdt1113I7L1teCrykEfZXXHFFGDp0aDjxxBNnelzWtq7wQIQuWgmZA8ikKHAcanZ8JtKXf9aquKXbLJlYa6214ssxNdXYv231VFJbo5mAHKGZyLLXIyBZddsNwarqmFrNa6s2ysPeTxbhqdTGd3wm5O9hN8gLvhWQCmu6qWY+ESj8xj744INyNAwEhjBg7gsixXPWPCG4bDl1hZUqBNRqJwTrpyONhDRhtn6Hp9zuWO8Nh8PRjiaP4cOHN/jOf2iE4dNPPx022WSTuFK89NJLwzXXXBO22GKLeMzll18eazvwMll//fXDPffcE/Mk/Pe//435CaiZcdppp4Vjjz02nHzyyU1aGef5AjAergeZQDNhEzJxLEKNza5uWjr8M6tNyZUQeJAJIjLSPBGp2cW+UFnVcW84NEImbG2SrLnhfJkgmuIomI4l6/6yxlmpjfFAHhg/Y+Y3Ye+P8a2++upR2BCFIyfJauaacyBMkAVWryIomFAU1cE+NDRKeKY5pQ+ujYbDah5k5pDJw0YDiVSozRLZNGGYo/beGw6Ho+lo9RrKvAgAzmyAFwQvdyIVhBVXXDGGC5L7AfBJ5kJb6GrrrbeOAgGtQhZ42dNuN5CWCufaFKgiYRWhkazibXgfAkBkQsWe8jCzoYyVHByZJyJMNtxww0gmbLrmtA8rNBk3L1PMHJAJ1MeqjWHv38JmDrWZP3Vs3nlZ95MK9Jlp414RENRKwcwEOcoiQ/iE8PuQ82e1c42WARW5tA2o19FKSYshYqGxyLyhuZD/hUwz8iFRGXY9J5E4W0tF2g5Hx3hvOByOGnPK5CV6xBFHRKc61NSANMu8hInrt+AlQJuOsS8FtastzwZ7yimnZLZZ0wArUkJDszQTtGODxV8i6+U/s+GKjbUBhBMEBwEnJ8RUoOep9pVkC/ON1Uyk10jPs23WHKSVnHXIlF8DkC9CY33OTBvXhlDwN0KET+7JammwnyNY+BsSpcJcjc01ZEG/H/wy+A2irQD8LnjuOGAqsoM+cNC0JdWllZDWASLBsZATlSqXr0T622K/NdU4avu94XA4aohQYBOlRgMprFsbgwYNCkcddVT5OysNhX5qBYqaHDLBfoSUVT3TjlAhaVWez8TMhCtW08YYyRQ5YMCAKOCUPyLrvKzzWc0hfOWAKTt/HiQs02qoAMHIys+C8UFwIBQIRRXVUpuQRzKa6lOiiq7MA74gCJFUUDAeVp8gJRXpnNm5ok9s7+TmgFBKyPPJfggCUT363chsYQmX5tdqK5T1U1oO/bakwVBOC8GdMmv7veFwOGrI5HHYYYeFO+64IxbWskmYlCCIehIWqKJp0zGp97a+65gUCAIiAuwG5Dwn2yovCxXDEmiHTEA47Is+a1WdZ6uf2TYlqzrggAPKK/HGTA82WRJCCvMA+9BuWDKRdR7Ol1wPP42sMtqKiknNLBAN5o4VPIREwhZtgXw+bPEti0rmk7w2xoDJBz8HInHQHKVCmGcOqSBZl819Uek5aD+/QcJqybuhueH5I1D4zfDJXKk+iWqP2PTZIg42KVZavVV9p/PrqO33hsPhqAFCwcual8KwYcPCyJEjG0ROACIWEDwjRowo70Ndj8DYYIMN4nc+8XMgP4SA5zf/2REeTYEc8ljt8IKCTFgBgyoUfwk0E1lptLMEYEu1qR4EBb7QULBqltDS2NPID5kemAuc1ohEYWWNA2cakZIKWLQfzAF9yD8kPSadu/Q7hMI6t0EkGAcvZsZltT5Zfdt96f2ln/TFeFmt4vNifVp0DNfdcssto2qccaVEKO85yFRkyRbn8ntQPgraNJ+qQCoip+ehnBMKC9XYpM2QhkPXsKYbR+2+NxwORw2YPFBX4ol96623xlWtbJesYlFT88lqHDUjDlf8Zz/88MPjywBPbUC4GC+AfffdN5xxxhmxj+OPPz723dT6EghnSmDzsrc5JgBhhBCJLNV/lg2+pdsQUmussUY0MVBmW+YECwSQNAas1iWQmAfmhVU22SQRWsqloPNUbptzOR4fDZ4BqzxbZt0KN1TztHMt28Z+tqwqmfQJqeBFrmyWWZoP+7ecTbOSbOkY+mBuEMSYPtAyobVI/RC4PrVNuGf8SOTD0NRnRL+QS0xH3KccNTWfIlI2tbm0PNonYpLerzQTanctRW2/NxwORw0QiiFDhsRPUkRbEOL1i1/8Iv599tlnxxcriWkQ5qitL7zwwvKxvGxRex5yyCHxhYHqGf+CU089tcnjQXCxkoFMWEdFSyaqCTtsyTbdI3kmSOCD8EKISxACRRhwHFoBXqrMgxXCzBGraV6WCFs5kiqPBNk1uT+EPCpf+kAIQjxsSnK7qud4oiAgFGpD2ENA6AdSIQ0KYB8+HLzwrcnD9pnOBfeG0OC+uBZbqjlgLnQOq9Vnnnkm5qhgH+GAKSnA9EImUfZBKpoSUipIm4BGhPlDcMmUovHI1CPiZ2t5yAwiwqAwU12D+RFx8nwUtf3ecDgcNUAoqlHlIkAvuOCCuOUBO/+dd97Z7PHguY89HJW4khV9/PHHDTQTlTzuW6ONlyJOhrwQEYSyC9v8BggyhDSbogwsUO1Sp4PVtEgCfWoljbBmk0qefdw7DoeQAhGKLKQhpAqB5BoqmiVhTRQE91DNPKQ+EpzHb8EWIkNQS2UtIY4gxuP//vvvj8+OZ6n5sCQBkgKpgORAsGYm7JdxYXpiXJp7aVCkVdCYgM3zodBQmV4gNTxLfmeqPsqYvDBY7b83HA5HDeahaG8grMltwOocIFDJJJkWqBLS1WxrtCFYWHUrSkH2dzn0SZihJVB5bAsEFepczsHHgBh7cjNsuumm5YgDhLUEn8gEgpL5SGt4pBCxsW2MEU2C6l8I0ijY+hWNhYYCiAhmHkWQsDFOpV5mDrgXJZrCIZQER9y3TFhZ1+O+mTdFV1RyjM16RtJGkIlRREwEwPp2yBQlyFyVaiS4D0XIyHTlqbcdDkcRUfjiYAhAhIw89RGKWTb21g4NVRuChWgOTB2MB5MFUAIlK1TzMipiwnnwwQejI6ZMEPgaiDwgwBBkJPXiXvmOWQIyZc0VeVoU+uQ863yZt4JkP32jBbIRG+kc2GupKBsaD/bzfNjHXGCm4f4BBAgHPRxXsY1DsnAsRfvA38pXkQKfEvon+gXYe27sGQGIDL8TxofaXPdkzR4AUiAzBs9Sz9cSR5EIG9WTFV3jcDgcHR2F11AgvFUSGwFLJASo5N/Qmm0IR7JgEm0i4YVAlWYBgZRHJhBcrOoJdaQOBX4heLmTLVAJmvhEKEOkWM0TNkckiCUTWaGaaGwIzwT4K1gHTyHrPJlA0DhYU0hj5ynXBuMiZJdrcz5jhgzgdAexoH/Gg18DphG0MMwhZEN1HtLrMYfY4vG1aExLkeU8ycZYIDMiCnlEJA0Jlf+EnGKzyJTV5jgcDkdRUHhCIfs+L3Fs820dGmqhipU4+2k1i2Mm5EBVNKVNkVOjNq2YMdeg8sfJEqGKAMYcYNXsCHd8DfhEOLNZMpEKUfbRF0LdXtMeYz/Tv1OykB6fdx6kgnHJXKCqndynjkXbQHSKTFTcN9oYckbgHyMTjr0vRZFAPtZcc81y3oymPD9pKfC1UWZMhe2KJNjsmbYaqXxOZD4RgbCaCY/ycDgcRUPhCQXaCV7uaCYICUwFSrqCbK02hBpEgmqZiptHCLEKR3OiiABW3/Zc2iBCbGgaiHTgGHwwcMxEmyHSxLXRYLDiZ4VtfSXySIIEO/3alNKEo0qIZ52XVf8jJRnVtIlUaEMAc10Ijhw+mTsEO1lOwSKLLBKJhUgFWpissUCuMAul1VKrfX7MveaFcTI2pdfWuGVKE2EQGbQFxkTa9N1DGB0ORxFReEIBEACs5FPtRKVVa0u2IUAgAaxgcRCVcLMOimmiKc5HpQ9BYONvjoMYKboCoUZCLNn52dLU2OorL9qCvyEqCHD6wRyDUyMRJAjMvPMQ4hyT12el69l7TLUEjB1BzvNS1ko0EkSwqGAUWh2iPpTdEm0M96CsiPZZYALinmzSrWqeH9DxKgQGZAKRU6Wdc3uO+hPJ4LuNKnKnTIfDUTQU3ikTNGazntnwz2rblN1ym222ieYNK9BQqyNAAb4PqMJZBSvRlcgGx0rAc4yqoRI2KsGspFJNAUJOIZYIbjYyb6YpjlOCwLWywm7TeW5qm1b3to15QbsDmWKsOGhCKiBACoMFmke0NnbuSR4GiNywmptqnh9mIHw4yNTI/UprggMpREHRQ1YLwdxAGGwqbmlQmGebJtzhcDiKgsITCqu+F6x/Qvpib402BIrSXksAAYST9etQMiRW58pdoJUvn0R2IMwQqORkQJNA35ASCMDNN988gxNiHtB4KPkTfyOg8VWgHzlX5s0nYyGCAm1L2qa5yDqvOW0A3wrMOUqjrKydkCulVGc+mUcIiLQFCHB8KRg3jpZZyHp+MmdA7iAuquehsE+0IpAGrsV3iIRIIM+B7zja4mAqQsF3xuelzB0OR9FQeEKBcFSa6SyHRKG12hB6CJS+ffs2EMDKrmjNMGgGAMLGhjrShqBnBQ4xIbKD+yJsElBISaWbd9hhh0Yd/uiPmgis+OlXWpF//OMf5eurLDRaAKnsZS6QhsI6Y7a2LwpairTAEymXGSvzwXggW3xHq8C88l2Okgh4+sCnxubiqPT89B1HWCJpVl999bKmCM0QUTaQDZ6Fcn0wl4wTDYbKo4so6rnLV8ThcDiKhMITCkIspQrPCx9MhVpLtcn7Xw6CVtArZFLHi2Bk2fVpe/zxx+PKFwFp/UG4BiQiL3pABMDa9QEFyUiIRcQIgpfEWDg90jcCl9Tk1157bdh+++2jJgSBmmotNK92rPZ6LdnG9bkeOTggXpiOEOL4R6jAG46qCjWFVDAXaIUIN6UPtBgIfzQ9CPw8MmGfLfOrkuecz1zJBAVZQDthtV9cXyXN2Xj+elbKoAnBtXPncDgcRUDhnTKlmagUIthabQgUBAzCz5Zitit7kQmZHyrdB/0hWBFymCdYAQPlPLAFt7IEpd2HEEY4IyAJr8TPAPIAsdBKHsF33XXXhX//+9/h4YcfLmtQuB73xPcsf4T0ei3ZhknjySefLF8X4Y1jKkId50x7LEQAYmTDUMlNwbNIS4xnPT+dw0a0ByRFZEGf0kDYKA8Ih/Zxrkqgpw63DofDUSQUnlCwEmxtdXylNj5RjyuRFUAYKmJBZKJSiCchk/hJsNrFzKHiWja/QtZ5eW0IMxwNEbiks0ZFT4QEZhBW7pAWhC4bIa6Qj1tuuSVWgoREICwhIAhxoiwau15LtXH/mGAwaxABAhgLpgjl31DmUUsqIALSBrGfWiBygK3m2YoMQCosOZHpR+SE6/N7Y79qpaT9yHyURWgcDoejI6PwbzVe8o2FCLZGGwID3wmKFSnvhIQQwgbBo1wGlUI8Aats7kPqdzn3WeSZC9I2rvvAAw/ElT5jI6cD5IYICPlokBacEtCs/Mk4uc8++8QEU4SJIpglcDEf4CSZkoBqx9LUNnwW8JtgDLfddltZYwKxguAwlyIa9llAQETgAFoYSl3zfEQqKj1bwHEQOxEWOV8yBs5RqXiImUJCFfEhE4nIBHPMtR0Oh6NIKDyhECpFPrRWm/JP2EyWCBRyPihiICUTef0jsCAmrLYRZKyyK52XJxjRTNAHvhj0gaC9++67I5lg3x577BG1IMsss0y8Jimv+U4hs4MPPjjut32iveCYmRlLU9tUlEuagUceeSQKeMaJCUZ1NXQ8gl0Jprg/hL3aeCZoO/IcWLOcM8G9995bLrcOeVFyKyB/CYWmKoqH75bc0KZU6Q6Hw1EUdBpCYZEnxFqyTamaVfWT/aoqioCxURL2vHSFDulQBksEIH4P8qewjpZ55he18TfaBLQdnAtJoO977rknCluEIZoITDNyJtxtt91iG2PFxILTYyoIaUNjkFf9s9L9NacNrQRtECI+CXtFiwLBIPKCfTiZ4vtBiKtqm0DmEOhoeHBmxanS+p5UeraQD/qWtoPnKE2TSAXHKiSU56U069aXR5VVHQ6Ho0joVISikgagJdvYECQ4TmI+EBBm5C6Qnd2aCvJ8MkivraJdCKqshFPpeWmfIhNEN7BqZlyEhZLLglU2whkTB9oHlepGQBIdwXecIPOux9+kv06LruWNpSXa1A4RePTRRyNZQNgrTJN7ZK7kqArJQIsC8SEaBFIAmWIOSIWOcM8q5JX1bCFOaHSULM2SET0jyBjjUb+aU82rtBQOh8NRJHQKQpG1yk1XpC3Zpr8RKqrbgABjNZ+VNMoSi7RNwgfhJ8EkZ8xK59k2iMxDDz0UBS22exwSEcSQEzQoe+21V9nEYYFWglU8BAhhbPvkWMYEGJ9qbzQ2lpZqw9SgcE38GNASYPYgJTdzjFkCk87aa68dtReMnxBZNDyQChE77hE/Epteu9KzlfMnJIpr2EJgtPG86Vf1PvT85Pci7ZTX83A4HEVDpyAUecKqNdusMEL4qTZF1jGVQicBgg6nQyVk4u90ZZyeZ232CFBW8ZAJiAPaCgQs39Gg4KSYkgmBVT8bgthCjpAISTaiPeSjkDeWSuOsto202pAEroNgx6zw1FNPlckFjqZEqWCW4N4ZJyXsAQKee8e5ko2EWCogpnmu9Gw1Bq6FY6udM5EKGy6qMRIZApFQhk00JNZ51OFwOIqAwhOKrDDA1mwDCDm2jTbaKAo18iMg4Kqt/pm22SRd9GcdCfPOk88GTpgksII84AMBscFRUJVPCblMyYm9NmYPBC5kQXkedF2tyiEckAqFt6bmnMburyltzCsmG12fkFeENDU+NL+QCkicapvgs8A5gGOJVmFOMCeh3YB0yHdEqcsr+XMw/7Qr6sZWG2W//DswjzAvkCD6ZkxohNCkZD1fh8Ph6MgoPKFIK4zav7Mc8ZrbJgGGLZ8kSggVtANNqf6ZF2GQEplK53E9nBERmowFMgGRgBSQ+XLzzTePK32FMtrrWGdPwIofzQYr66wxS0vBip/ICwR5FkmQ6r/ae29sXgDjx2QBoVB5c8gDhEnnY15AqEME2CABaBkgFuSWUNQMYak2AVU6Djv3+lv3JALHHNO3SJ9Ih/rleH4T1q/C4XA4ioBWJxR//vOf44v0iCOOKO9D4AwcODDatlmxEU2g0tMCwonMjQhDhMHRRx/drIJKedqE1mrTfeJbYOs25DlxZrXJDo9pAVLCHBHuyLxVOg9gx8dRkj4QqNIwQCbQnBCCmkcg0vGRNZNVv0qFWwHL+NBK8Bx1HesnYh1D8WGwZp9K99DY/dnjmA80FWhf9BtBI0BEi+YeggGpYr8NPcWXghwcEBIlnsoz/6QQaeA3CqGiP54TY7CJrRiDJRTSXjhq/73hcDhqhFAQHXDxxRdHtbrFkUceGW6//fZw4403xpc5auddd9213M7LmJcCKmJWvFdccUUYOnRoOPHEE1tkXJUEVXPbBF5i3JdMAPa8Sup024aJgw2zg1bVachh1nlck4gOhBtkQD4cvIghEzgupsI+dfJM29C24IsgPw72IaTRcqhUN98BzzT1EaAfVu9U+8xqa8q8QFzkEKqIGUwhkDe0MgAzDUJFvhXMGVoWtBn2OUJ+iAJRxk9VKbUahKznLn8JZS2VQyZQYiuA+YNxpGagxshoZ0atvjccDkc7EQpe9HvvvXesYIlAFPAluPTSS8NZZ50Vtthii7DWWmuFyy+/PL4AHnvssXgMuRFYMV511VVRkGHrP+2008IFF1zQoApnNagUKdBYiGBT26yQkQo8S0in48trYxWrGh8IvmrOg0zwskWTwCoO4Y8A5xlg5rBkIu2vku8AwhItAL4HSmPNvaqEuL5DLGinAirkI507zCZpW1PnhXuBGHFvEC7mCaENWcABEhMG3/HtwKwhAa/aKpAL+UpIW8BG5IZN3Z1negIQFVVq1b3TL9dVxAh9sqpmnCIp/CacTNT+e8PhcNQQoUA1yWqhX79+DfY//fTT8UVr96+44orRTk8oI+BztdVWK69CAZkaEYwItCzwgqfdboCXe6UCVpVCBJvaBtAIZNnHKxGbSm2Al6GtmZF3HveMZgI1sKpgQjAQorxcSfyUNeZqzB4AIc5zgqxYlb2yUQKEOCQD4sCzzronNAmME3ODElNlHccKFB8QtldeeaWB6jpLa8B1uXeIAe2k6ZbWQMeRTlzJpvScRCoU4mkdTq1ZSMfyN6QJYaYKonLUZK65prQ2kBuFicpJM8/p1lE77w2Hw1Ej5cupUEl0gU2IJKB656WqSpkCLwHadIx9KahdbVkYPHhwOOWUU2bYj/Bg1Zk621knvyxnwJlpS4FQ0QrWCuzUdyGvTVB2TdnjBWumkGYCgcrKDkGmlTtq4ZVXXjlX+5BHJtI27oUQU4qIMZ/0SfQIz5LxIUyVEAtNAWQB8oHmwI5ZvhZs+DWss846sZ90Xvj9kD8DYOpBw4KWBEGi0vAyaXAOGhl8RCAiCBoIBgSBsZB7Q/1zDPs4l37k16BkWHb++a4soHb+5NwpPxeREsbEOCAR0ljo+XC+QlO9OFhtvzccDkfT0eJvNeL8f/vb34arr766gTq8tTFo0KAowLQxDoDAwr6etSpsTM0/M23AqtLT/baP1FyS16Z9AMEkFb4iJ1hVkReBtpVWWimSCYQlL+A999wz7qsUGpp1/bw2tBwU1pKpAcJGdIQFwpIXP0KVVSOkgj4IzYQYoMVh4/dBjgxU1lnhpqQHJ7EWq0zwn//8J1Y8pTAY/hjs5x5t/Q5IDdoRtAfMA9dUKm6BKqr8JqRZsHNpzVR6xjbhlX3umlMVAGPTb946YVqfCo5RPgpH7b43HA5HDWgoUE3ysl9zzTXL+3h5IvDOP//8mLYYFT72Z7vaYLXK6hPwSUSAhby5dUwKVoZZ2QeJiiB1NbZZq+IGWZqG5rRlqeGtOj89tlIbc5gmk5JZgzTSOKwxrzghEs3B/SEceSFqpUxtDhwRIRcQgCwtBHOCGUAqe91fOjZLKlArk7b72WefjdqFFBLUkAZe0hCGDTfcMF6Hc3AW5dlDLvgd4JnPdTbeeOMGtUIYOxtCmVBQ2cEx/9x5551RE4JmhO9oThSui4aAeejTp088n3ZLEgAkCFOKQjylZVBYp0wTIhRZRdyYY35fQPkobKgo/TImRcLIrKJKpY7afW84HI4aIBR9+/aNL2qL/fffP6qpjz322PgCRoihNifsCyA4ESoq883nH//4x/iCIfRLVR5Ri6Nmbwp4qeOIeMcdd+SGj1UyW8xMWyVnvmo1AwhdOT/a1SwCkPlFwPGCxTYsYSfnv1/+8pdxlacKnAgzG+6J7wLZJXV9IiJkTrB+A2q3gphPhG3//v3DzTffHPthtY9gZ799ObOCF6nAdIF2g+ehvBy0IxwwPxDiifDYZJNNIimwY+Ce+P1oLGid0DoQMcJ5tKN1QHhLzY3AfvzxxyOR4blDKvntiTSgWWG8qhZq5zjVUDBmpdi2z4xrQ+j4vcpUIs2HfDDkOyGTCtfDBOe1PGr7veFwOGqAUKBytqW19ZIlZFH7DzjggHDUUUfFlzr/2Q8//PD4MsCJDqBS5wVAwaozzjgj2j+PP/746LDV1NUEwoBrMAYEtPXuz/KBaE5bY6gUMlipjYRNWp1znEiFbPjsQ6DisAaRYFVufUaY+80226w8flT0mBL4m4gLXsBXXnll9DvAex5/A72Qs3w85EuBb8a///3vSFzQPiDkU4KEkGf+WVki4Hmu2MghGWgYFG6KkOU5QyogAenK0fZLf/zOECyQGjQQCHbO43o6VyGu/K6wzQtodPCjQNPCWBgn9yRzh3xVskJH0yJf3IdMG9yLCAXgfJVcl0mEv23Jc0dtvjccDkeNOGU2hrPPPju+UBEICEds4RdeeGG5nZcuGoVDDjkkvjB4sQwYMCCceuqpTb6WBC4vHcLKKvktZEVzNLVN+1rKHwNYx0P1Lf8MCXhIhBwbWTlXenEjyBG89PWzn/0sfhJuh3DET0GEYdNNN41zn5U9Usdss8020aRBexolwUucpFyYHiA/+D4g2Bm7jleiKUiMMk3ecsstkdyg0WCcWfPLPtogUJwLSYKwkBcDkwfno4khmoRnT9/MI2PiWFa2+FdwfyIF6XMVqWA/45R2w/4OtNGnyIN+cyoDz3U1ZrQz6W/IUXvvDYfDUaOEAnu7BUKA2HC2PJCZETt5cyGNAuptVjusWqyDYpZAn9m29Jh0HGrLihzJa0P4s6JV9skscwQbTogKn6uE5ZZbLvo92FU0CatYrdMPvhn4aIwZMyY6yKGxQEhn3Rcvd4Q54yOygvMRoDxfkQmupdU4hcg4Bm0C5+D3IXu48jQoQgSfDwQExABTDP2lcyYTAkQKlTjjxgTDmCFO/IbQRtAf5/Ps2YfJhOO4Pg6rEBFr1rBaGUsq8kglUH4JaTqsiUR5SSBVPEfG4tkba/u94XA4OoiGoi2BMOBlzqqVhDjYYBEsVp09M6GhWatmW9fBHlcpNDSvTUALwFhxZrSOfLYPYCMdKhEa8jmwCfgrYA7hGoR34qwoNTJ+B5g00F6gTk6zTPI3L/Add9wxahXw05AvBURBtUJ0DhoFSAXf0VRABqxpQX4HnMtKnnwSmDMgOSQqsuaq9B7x1eB6EAUIC2SGe+Oa+JlAStBEAFaufOf6EBhIEbkxsn4DIi5cWzlNpIXRcarVAaTJkBnE+l1wDOPhOboK3uFwFA2FN+RqxajVL17krGblKAeqMUWowFa64T+QCvU8R8t0f6U2gUyPql2g46wws5iZNoQbKzrCMRWSibaBY/HL2GWXXSJRII2xtBBpv5hbIArMBUQgKyRS88I84r+B5sJWBOU5QRx4ThASnhXEgv34i0BA5OOQBcgCWglIBf4RHKfCYYwJYoJzKlEy7EergRaE6ylSQ+Qny/xh801kaSoUfqrjGKtKlqd+F3x65kaHw1E0FJ5QKAwQ8DJnNcoKHFV6mhobZJEMVpUITUIXET6ci7DlO3/zaZ01s4Reeo08ApG2oU3BlCE7v4U1eei7NiscU6Tn6RPiQDQGWgmSDCF8uT9SISOUMQ1YTYgdN/MD+cCZ02YbTLUxAMGP/RsfCYSuQjchFGhG5MzIKh5iwd9oSdA+5D0zwkQhRxxPZADXkMYAMsYxtEvLg2Mf10ELo/FZbYrtX/kpZKawbSomJqIgTQVEwhYFs3kp+D3ZEvQOh8NRBBTe5MFLXQ6ICC4VckJTwXecANPsiKndFr8DVrQSekQ0IOSJTNBKHgGCMEVw2DLfMxs2agWVnAy5F3wCbF0Pnc+qHvODzScB6IOxoemwQhHkJVeCxHAPkIjdd989kiicN//5z39GMqaY/tT8gMaG43CMI013ntDkeEwUkArGg+8Dz4jnwvyi6cDcgZkHQBJUwIvnxVzgzZ/mhuB5yvygfAX8DXlAO2GP53poMugPPwrGTpKtrOcCrJkj65nJT4J7UP0V1XWxobjSXjihcDgcRUPhCQUvcmzmrEy1ekQ4aJVMmCLC1pIKCQnIBJEAHEs7QoycDQjv7bbbLq7EiXPnE5IBsaiUaa8pYaMIVaIjSPjD+BGOrNhR6WOW4H5ELDgH4Wjvl7EzTkwLqjiKyQItg1T43Df9pMQCnwpW+fhFUNkRUoHAhYSlppPU/wNhv99++0USlLal50HS8L8AjEM+FNw7Zh7GpdwEkDXuAaKDkyU5CBij+kdAE7mhhFqYM/TMmBvIGNEvllRwHUgEzplKAGZJRTXhwjKt2Hbdm5J02RBR6wficDgcRULhTR5AqY7lhS9bNi/9nXbaKZIB2cdtSCIOkdJoIJjIc6BiUAhM7PNbbrllFPYIL7LyqYomgou/QZZQFfLaFHJowbghOJRxRhCjOVAyJ0UpIDjRLCBsKbKEOYb7VG4J+SVwv0R3QIK0staqWQXGIBL0CQnhfvfaa69yfgo7fjt2+SdY7UUlHxXID2GAZPWUn4iictCGkIOAv5V1Em0FY0LjoBBUVUKFSOhaSsGt6AvOg2Sh6VAYrhJvofUBzIHVJlSjTZLTpjRKAmNS1VGIkDQc3EcafupwOBxFQOEJhVUt8xKX4AUiFSRoglRYpz9W2rQhFFCJk20zK4skpILoEVbUNgIA7YF8DkCWz4JQqS0FAgohjP8BCXtsHQ0b6ghhQBDb1TEZJFmJI4wxAxC5wSoax0jGj3BlfviO2YLzybpJFkOQ9mevmYVq2vhUqKn61hwz35hOIBWKBIFUqKIp58t0wXOSTwSaCPxBeJ5oKvjkPtFI8FzQcKh/CBf3i2YJEmLrSGQ5X6aaJOWesOm25Suh/BNKamXDUl1D4XA4iobCEwo5yuklrpW4ajUgBBAkrOblp8BKGQHEcdJMaPXJOWge8DMg1JDvCCrqUCCUreBJkyClf2fZ5LP2keFTq2q1sWkFnLWiriTIAYSCe5DDKvfKPUMq+GRe8G2QSj9FYw6oLdGmFT3zD6lQ/hBIBBoXxormQUIcYsJzxWxBH5AFNC04dPKsIIiQCzQSum80Gzx/fCl4fvK7yBqb/Tsdvy34Rd/SSsg5E9AvhMVqMhwOh6MoKPybzVbm1GoS4SPnRAlnBCwOgZAFVv0IGb7jM2Ht3qjMsdXjf8B3kihhNtDGShfhn5W4aGacMwGrbUhLWroZ4NeAb0RWPykQqlLvk7gKsDrn3nGmZG4orsQKn/skZwf3gU9FWnHTXs9qV1q6DSCAMX8wPqXQph1Njb1n66AKKaRaKYQDB0/uHSKCv4vIJOC+0NpAntiUQrtS6CsQWbCRNXJ6ZT/zyhhkClHKbWC1ZA6Hw1EUdApCIe9/1b7QfqBVvswdEAlWshI0CB+B0E3IBCmdWd2rP4QJq2FMI+znuFQgWWGUrsQrtVUCx+Ergc8DK2xU/1lpsu34FSapOeB+IBRoZ5gLTDis6HFWRfBBQEjBnRX+mfpItGYbzwGHVL7jqKpj7fwCtCtyYlXRMEw9ECjdOxoDnD3RaOCTwv0TIWMTfqXPTmPRd2mmIHTSdPFbgEjwt0rIp9Eh8gexobUOh8NRBBSeUKj0tM1YaL9rtcp3hBCClWPQPKACt+cQDYA6HTU6/SIU0A6wqieaAlKhVbMVdjOrmciCknTp3vh72223Dddff31chWMKoE+l67bCWap3XUcOizhbyteEPhGu9Il6vlKIo/WDaIs2NAw8F0BIqRxp7blytLSJwJgjTBsigWz2GXKMNSlVA/qAiEDimGs5ZsqPQsdI4yHTG2PhWpU0SQ6Hw9ERUXhCwYtetROkibDqZq0g+eQ4Vrh8Es2gKAuEFoIHlbhqgUhtjYOjSAXmkUqq7KaEjWZBVUZtLQ4+IUGQAkgFDodEeUAu7r777kiKdB9yDtT10LSgjeF8xq3ET9wbglIRLalfQ542ZWbauB8cJ7PAWCE1lFYXUYNUcP+ME01KFiHjHBUV0z7mAVPW66+/XnaQpF2apHTeEfy2AJuNAOKT3weF0aQR4jfB80FDwXf57UBCpcFQH5W0SA6Hw9FRUXhCodWhTfhkve0V+aE6DYC6EQhZAWGAoIZUcKw0BCpkpaRJkAqVqLaoJnwyb0XOpvTUHKvIAetoyt9oRw499NCoQcH3gf04cyr5VhYgGpgzUPVzHYSuJRHpGLPQnDbAuJXV0gLtyk033RTJEeYXIlLIy4EgV6E3VQ4FWWYiS2YUBaLvapdfg43WsMdYWGKhDJw8D2XEFGlQNVXGBqFgvLRxLUWneOpth8NRNBSeUOhFr9LVCE4rPCRsEAJypBQJERAKOAOy6peJRPZwBBtCG8GHjR57vZw4ERr4NqBut8ItFbR5bYSyohFhJV7NfXJv+HHgF0A/+FbgI5EF2iEfw4cPLwt2QmO5Nn4HmH9SP4aWNF/g/IpmIsvMA1HjPgYNGhSJBQSJBGKjRo2KqbnRWOAwi2ZI2o1UI0L/CkW1/hVsPCubQtySTJHLvHvReTxTmTP0rFUYTISCa0MqpM2S46au43A4HEVC4QmF6jBY7YStNCqCIJNICq1IszQZCkPFli5SQUQGQkRmElT6CJ9U/a/PLNNA1jGQGbuSz1qN6xwJKwRvpXmBcDBuQeQDP4yszKFZ15vZNubmnnvuiRkvU0Bo5AhKWXUKj0F2cMYkc+fIkSNjMiwSezHfyrIpyJmU/WT4FHHEjMPGc0rnTN/z0pHrXpg3yA5RJ4C+ZUqShkJ+O7YvrmNzVDgcDkfRUHhCYYmEtBJoKuQ8Z502bURHJWQlYBKpQIjlCYzmOGei/UDQ2uOzjktJSqol0N/cA0K7GmRFYTSnLSs6w4LQ26uuuir+jSYCQoZmgVTp9HH11VeHyy67LPziF7+IJEsFv9QXzxdSRLgosMm/6IvnhKkqj/BkRegA1QkhHFXaCKtp0G/Jkg9pxzTnCjXNIy4Oh8PRUdEpCIWN6lBeAHndSx1tfSzwKUDwEEIpSBio8JPVKCDARCrwW8hS82cJ9Txhm0cW0v7Sv/NCLhtr0/es/me2z0ptmCr+9a9/xWJfeX4lOn/06NFxg+zhRIrGAQfU++67LwwdOjRqKdL8HDwrSITMOvSD+UiFwnDwRENic4WkGqL0GUr7QJItzldqbd2jTGcipfye2DjO3jvHKOmVw+FwFAmFJxRSQcu0IfMF0CpTq1Je/ggnSAE2eJkqlOQqta0jkPCRwMSha0BCUKvbbIwga3Vu92e1Aeso2Bhaw9ehpdvIhXH55ZfH+WF+rfZA/ioQOpFAPStW+YSKEqWBpuKYY46JWownn3wykgyF+MpPhnmjVgmQnwXHWdODjeTIGn+qsSANuPJO6P5ENPRpK7oqRFW/G+5FoaNOKBwOR9FQeELBahIBo2RVCBz28V2mDzlkImi0eqU8OatZhB77EUY4LlpAJBBykA/yGtAPpEKOn5WiDlLktUFkIDg4Z2bBagGy/DFqrQ1BiqOlaoco3bf8WphDCBnHYbLA/GGTQ0E47rzzzng8BdIwX9jwTmkGgEgF+2X+QFNB0Tcic1S8TedazUgWmVhjjTXKkSU4fIqYiLTKnKGCYNKEWSJr78XhcDiKhMITCl7+IgxoGiAJ/I1QUxsvfwklBBxaCmzsVKvEFi8hpXLUAsRhk002icKe0EaEm1agAitrhBfXziMSVhCnkDmF43AmTCNC8vrLQq20ibjxLHgGCGtpEyBP//3vf+O9ou3h2UDWbL4Izrn55pvL5dy5DufJ4VZEgTnnWmQ85RhpKkjcRRvPJdVSpGRC9VyoJcJ40bBYx8o0MkRaCsamzJkye9iEZKoS63A4HEVBqxQHw4GQctSsQnlx4qn/1FNPldt56Z544olRYNDer1+/qMq2QDjvvffeUZOAgD/ggAPi6rSpQHAhlJQvgL+VFhnYVSUCgJWnBBFaCkUEZAlw7UPIKBeBhI3qOEA2SIil+7afdj7y2gTGSUREnsNgOqYs1FobGyGiPF+ELhvzhsaCvyEZCHOIHL8Vlf4GPEd+D0SqPPzww9FMghaCGiv4TeBvYZNMQSogEhxDG1oKnnXq56E5lamC3Bds8o2QZkLhn9I8cK6Iq34D8s/hGO7H5jDJM7V0ZtTSe8PhcNQAoWBlr1Lfd911V8yh8Le//S0KDuGMM84I5557brjoootiiW+EPnZxJSkCvBReeumlmH+AUtpoAA466KAmjwcBQL9SN0MmpKK22gkRAl76mDlQu6v8dZriWZDWAGHGJ0JDqm+cBeX7kNrLUwGWRkak+wSVxFaVU3tcJWfOWmpLAWGgJoYAmSMsE+GPiQEywTyiCSLhmPUnkTaAT54ZpIFz2DiW35XGIvMH/UI4IHk8ezlTqj+rmSA0VFVkuY6Sisn5Usfz27HaGDljpr4vKQFx1O57w+Fw1IDJ4y9/+UsUpjjeCfgfCLxQzznnnHD88ceHnXbaKe678sorY0KoW265Jey5556xkBMJl3C4Q6UNzjvvvLDddtuFv/71rw0EUGNQYiGtDEUuEApslmyorDkve1Y45Dgg+yXChBoSeRU3s5C1Aq3kgFmpDUEIiaBPCBH5IpgvYG30eZEW9hrt0WbHBkFYb731wiOPPJK5cpTGgLlnw+wEOK9///7xmfFM0jnjb/rjHBudY+dTmgpFf0iwS4thS5CTRh0Sw+9DBEKaB/YhzFRVFGIi7RS/IWm9pKGwjpuaE6VDd9Tme8PhcNSAhuK2226L/5l33333mCaZ1eI//vGPcjsvcswAqCsFVNwIGUwMgE/UlXopAI7npc3KJAusHnGmtBtAEGiVy0tJGgr2QzIkRCRUZOtGiDAGBMJzzz1XLpudClEECxU/lYbZ1mzA/wLoe57gtQQii6zwouU6EArmL8+BM92fCvu2bmPuWC2yaR+CFFW2noWqgKbnQSREJqz2giyg9poyVVFyHaKFCpznlW7MmyUVSnhl51vRGfzulGuC34JMLfzNOfye9JuRk68IhyUvHM+mpGm2bLqjtt8bDoejBjQU2KiHDBkSjjrqqPD73/8+rhZ+85vfxJfpgAEDytEKWmELfFcbn7xUGgy0W7foFJcX7TB48OBwyimnzLAfW6uKebGCFWFgPLxMZPLQihHhJL8JBBjOmxzHypfjlFZboB/s8YBMjjpXgoZjseuzOlJuhJnRWgCEGA6HjfksZGlP2rqNecQUdPvtt0enSwueLVk8b7311vidZ4DqGgKGDVwv/5RoQRjIrilBj6Bg9QmJUFnwvBBbHS+ThY3+kMYKIYbzpZxGVYtDIcUiixAhSAIkUqHHluBobixRVThppeqtnRm19t5wOBw1QCh4ObNC+NOf/hS/85LGXo3dkxdDa4G6D7yMBFYarOyVpVCrRAQ+/hH8LZu4XvpAhEFZEQkzZHXEKpoVELUktBoF0naofgbHkbgJIakkWJASEQ2QF+2R18Y+1aXIgxXutq88H4vWauNvlXUfNmxY9IfQilHnIZwxJ/BMqNOB+UOl1+XnIkDiVGuF6qmcAxmBgHAsDpnMP7Z2zFSE9uYJbJxnESzKB4Gmgn4hfIq8YIXLWLgOwirPp4U+FBrKpzVryNeFPpQTIy1t7pqK2n5vOByOGiAU2K9xtLNAqPz73/+Of+M8BwgFtLZuvuNIp2NIGGXBy5nVq85PoSiBFAhyVXjkpcUL3qZC1spTWQ9tESeEjXJRkA+BFxwCAX8KG/anVS/3ibYCFT8rW8Zr1fl5ZgorpPPayNCYmgAqOURmoS3amDOc4RDe/A623377BgRMYB/qaLQXaCogFXpWNjwXYQ+pI004DpIyPXA+oaKQD+UY4W+c+9AGZc0zhIVnz3mAc3i2/PbQRrCfOdY45ESpXCXsQ+BIY0GbyISyX8rRU+YT9uk3pkgR/rahxY7ae284HI4a8KHAUzst+ESKZbzrAbZr/nOzMhV4SaPmVsElPlHtY0IQKAjFyxmbaVMglbU88bXK13cgM4gc6CQMEE4IF/YhtBAI2OMZF1oHQcJLznu84JgH7kP3TV9pzQkh9a9I26zmhHHLzlvJDJGFtmjj/nGQw7Me57ksMqHzVAL8Zz/7WdRYcI9k0ESoI9zZENDUMJEvDMdLMD/22GMNqqnazJpZ8ymnUFv4DMKITwdkAU0U15TPBO0KM+Z3I5Ih0mDTtctfgrHRP9dR/hDrjKm+FbbsqM33hsPhqAFCceSRR8YXPapLhMM111wTLrnkkjBw4MDYzov1iCOOCKeffnp0xKIa53777RdXlVSV1Mpkm222CQceeGD06Eetfdhhh0VB1VRPbam3EQb6rhwCapMWQFEUQKtQCQwEGS83+pGTpjQdqdBSnRDsuQhKvRxZTemYrM/G2gBEBiFqSUiW+cGiLdskaOWz0Nh5InN77LFHOPjgg6MWgnlHuLDRvsUWW5Sfk70ezwgThghgHnGxn9I4SdizH80FpAKfGVu9VOGfwGqwlBgN2AJzQL8pRXvIT0f9afxOKGr7veFwOGqAUKyzzjrRdn7ttddGB7fTTjsthnsRHy5Qh+Hwww+Pq1iOR4tAuJeEPqCiJNETffv2jY53qMZ5wTQV8q5XUTAJMEwWykJpQ/sgFcp8KKc79UE+AkgC+zB/IFQqRWyIqFifA3tcnikkq41rEnlghVIWqnXyrKU2fWe+efnvu+++0Z4uMsH+9DwcMdFk8NxIVCXzBBol66+ia9vrQyrSol2QCp4vxA9CIUde/RakrbD1OGTqspoKkQtb38Wm4KaN35jX8qjt94bD4Wg66koF9Q5DHUpYGbHqyr4oAqDVrlaSpGCGYPCiR0ApLTN+AAgfXlx4/ePMiZaBNoQZalhs+1aTAeyUooLlpUfGP5wJcQQEWZoNnZvVxnfGQcppXqC8LKXqlSOg7SdrLB2lDWALhygQjcEzSOfi/vvvj/4p1FLheaAyl3mF1SjPKstR1f4+8ItRYiztw/8FAoCKnKgcyAW/G34/jIPwVLQLkA8JMplFbLSQnC9lWqNP+hGh4LfFSppPzGmO2npvzCzQopx99tktOiZHZaDJpGifdeYuOsbX6HujVVJv1xKUctuaNuyqUxoJvfTllCl1vU2nzbFqg2Ag8EaNGhUFhfXJEBA0EAo5UyL8cBCzyNNgpG36zsqYlx6Crdb8J1qqDRBhgVBXFVF7nnKH8OKHVPH8CFG1fhOpVkLna+M/Y+/evcu/A8A+nivPTAQhywFTkTvyrZDmQdekT5lhlIVVWgmFkOY5uTocDkdHReEJBZBaWp8SCvKtkM+DrVRpfS5UuwEoOyKrYcwfrJJvvPHGGKXAShlhzyeajJtuuik6kcmJkk+RkqaEjaoNRz+iPRTyalMOp6vxNMyzSG2sSEiJzvPEVMG8MOcKA0a7oSycleYTTVRKKojSgVSMHj26TBIhGrRDIOQzoaRokAz9TvT7UJpujYM+lIOCPpWd1eFwOIqEwlcbtSmrlVuCv1GJk7tAzpkSDtJgKNmRdbCjTatVpe1G+BAdQHgj6nJl11QBMhGXvBwSEpJ5gs+28amQSrQdhFOmSaNSn45q2hinwlsR0Kz8UxNOU/tszTaeE5oLnh/PBcdXQlXxa8HPhDnKqpeRNdeQCkwkihZRgTJpltCUYA6TIy/PXQXClNRKBEOaMH0qSya/ETlx8t0zZjocjiKi8ISCOHZbqEkEgsQ5JKNCMCA0eNEr8RACByGrKA4g4SHygbC46qqroi1Lq2n6JFqAYxAaqjCJgKYdcweaC4ShzUNgV+J5Tp5qo0/5ckhrYpHVR2NtCM8bbrghetdjQth1110z/Raa0mdrtulTG6QAbRFmIMgdpAJCBzGwDpNZ8ymSqCJyAKc+NE4kMttxxx3jMUquRX9oLPiE2MjhF6AlkYYCEkIbc0u/Ih7SVjgcDkfRUHhCwSqWF79MGfKFeP755+OmQlCqTCnNhez0WpXKfq4+EUCox0kRzHn0r3BSjscBk5Uy5AFNAmRCdUFw5lReidRp0ArMrDaEGaQFQkG6YjziGU+e8yForA1C9fOf/zx6yD/00ENR8O2yyy5R2zKzfbZ2G58yHyG88fpHC6B6DJorRYhUmmueExk20dKoGBhzosRkcrqV+YvfAc9fadtFDm3+CpnSiDiBmNKH8l8wps7kQOZwODoHCk8oIAgIBcCLnlUjmzQVCARi1lUdlJUuzpZ8R/CTlU/CROYQrYzxZ4AgKIuirVZJ+WQAoVC1UJuVL8thUKjUBtAeQFIgRCTRQvDbY63QTZ06s9r4JMfGPvvsE8tGszpHY7HXXntF4TczfbZmG7AJoqQNIr8EZg9MFdYDupq55j5FKiAmPHv+pvw1ScnQZkFc8ImADMg8xvWVLItPhZbye0ATIbJhnTcVwuxwOBxFQuGdMnl5q6YGAsA6YNp8FAgANoQHAhXNAypvBIhWplaQsZ/zttxyy3KxKs5H06H+lB6abH5oE1j9Qj7I5GfV3lbg5Zk8bBvCUol65GBqj021HNW08R0HRRIDEftPSCWlpCEtikxJ+2rO9Wa2TRv7lZ1SxzHfyy23XCQCPEd7bDVzDanguakvQnwhDzhXioDKsVdzz29L+TDkWwOk6dBvThFE+t156m2Hw1E0FH6ZROZFBGKqYraRAwgPefKz4pRDJYKJjH1oOTBh2PTdEjxoClJHPwkVmULk3U8WRggMn7Z+iNAUrYUiUtCEoJ6XJqUlfBZYjZM8CK3Kf/7zn3j/bJh40LYo9XV7+E/gPAnJQfOjkF5phniGPBciQMikyPfVV1+9AemoNNcy/yivBJog5phCZ2zkpdA1uY4iSQDnKNmVCITCTnnmcurlbz7xvXE4HI4iofCEgjoQCB+c47KqUErIyM+CFz7CQmptVqcIVqI4EE44LSI0cASUU56SFklYAK1IpQ0BkBSbx8AWJUpX5hZZbQg3/ChwpGQ1nOcjoHOa2oa2AhMAqn8I0X333Rf9QzAP4XPC/asqY0tcr9o27lWOqWnaa/5GQ4GgHzNmTNQOMeepeSFvrkUUuHeeN/1SsEp9cb9yApVWSo6ckAdMHnLA1N8cjx8Fvw328ztUSm5H8YBmLK1J4mhd4Iid5XflaHsUnlDw8sbB8OKLLy6/4FPNAJD3vezeCASFB0IcEFKYLjBXoPXAf0J2exIwPfjggw1qg/BJH/SLQFG4KWPgO3UGtt122wYJt1JIuGa1qRAVgPAgBK1TYBaa2kZ/OHyC3XffPc4lobG8NPEtgHDQTnQLc5qVMbSlxpKOS6YsReJoPthI243gxp8C4oETq52bxuaa+8CnBG0IpiWugcaD/WhvFPEjcshz5/ch8qhnTBtjlIYCEqlsmU4oigkcm8lL42g7aIHmaH8UnlAorwD2cFTlEgaCXf3quzIbAtm8ZbpAWJCsiuNQj7NqFQFBeCghlhwG5ZshAUNoI6p49Z9eO8/mn9WmaBPMEkpR3VqmBsB94gSKQERIMxdEhdx1113xPzThmtIW4EtC+KU9v7lj4XoUAwPSPIgoiAjqO1opNDhsmKXkuFrtXPO7gaThS4JGgu+kT8dpFxKp6+h3AWFAqyVTmIgEf8v/ApKj3xTz4ygetChxODojCu+UyQudFzjaACUfSh0ZrWBJnfaABJeiCTj2nnvuiSsRVuys1Fm52vO0IVg4Xxv7VMocYaUx2vFmfWbt45oIOK2gbV0Ki9SM0Nw2VuKQIq5NzgrKlKOlgCwxjksvvTTOjSJeWmoszBsptpUHQv4KesYic8wz/h6QPMZDErCsWieNzbVMK9wnn/ShlOfyl9Dvgo3flq18qt+Ayp4rsRpkApLicDgcRULhCQXaCV7mvMSx/Su3hCUVVqBYQWDV43KCRHAogoNVOU6ROAEifJSrwp4nQSYTCsAvg1wJVLbMi0TI0qLktSHEMLmkab2b4uQ5M226T4Qr+TBIAkWlUCqGEv1is4M293poJ0iHzaofAa8EUrbap83twT7MFqpMig+E+qt2rgHXIzEZWgl+S4TVyt9GvwerxWJc/Nb4LjOQQknRIIl8VDLpOBwOR0dE4QmFQjV5uaOml0lDpMIiS7inhEP2e2krMGXgW4GgkerbQvZy+W7I74Hr4PuQOnA1JcwRYGZQdUSRJDteq4lJ76Ul27Rxj1RgxXlV2oOWuB5CmegYhcvaXA4iEAhx5XvgPBxKeeY8o8cee6xMKpoy1zwvrklfEAp+OyNHjmxQDM76cEBA0uJz2q9wYpFOh8PhKBIKTyhUT4OXPKGV5Fngu0iFXaHmRRrYNjlborJGOCAkIC3kIsgym6gfriWhgkDB3IGWAm2FiEDWSj2rTyC7PKt1xkHaZ+pZZJkZ7Djasi0LckzVc6m2T5mOMHfYudLfygkhG7bmR06lKjtvzVHVzjWEALMWJZK5Ps6acgKDSOCfgUkEYqc8J0r3Tl8cwzg4jt+AtBkOh8NRJBSeUCCEtGpEMLBy3mqrrcqrR/kdpKQi/dt+V/lpVNsIcwQJwoLPPHW2kmsxDoQN/gDY40l4Rehn3jVB1tgwsxDFwFhko0do6vhUe2BJUnu2QaLOO++8mImT/CAKs6x0HnOHI6yImQgh9y6hrUgc9YPAp38+icrhOoS8ohVq6lxLU7HSSivFiB6uRSVZrgcxkkkNUsGzgGxCOnnWfKLZoA2TB79F9uURP4fD4eioKHyUB2m0pRngRY8gglQgBO6///5y+Wmpz+1KNQ9aZQOtNKtRYSsls3wdFF6I4FNESHqdvPEwXvIjQGIIYUVDwr0gMLH35wnLSpqDtmhjDkjqxD3jQ0INjr59+zaIerDn8TemCuYKR0v5S0gDoKqefFcVT9XOoE+OV74MSAl/KyOm1RJUmmu1SdPA+WgpCP2FnCr6R78L+diwn+cLkVDCNDZpTxwOh6NIKDyhuOyyy8oRAFtvvXUUBiQr6tevX9mZUXUZrE0epCpwq46vZnWbfpeWQpk2WT2jVcD/AhJAsqo8u75dvQNCIfEpUPVSzDloO4g+2W+//TLnIu2jvdpkEmA/ac45hrBeklJJw6PzELwIbiWSqmSKkhOo5ljOm5wLEYB8oQ3iu8qcVzPXtg1CgumDfCRoW9BS8Cwwpyg0WCHB8tOBZEBqMW9xfJ6ZyOFwODoyCm/ygEAgvBDew4YNizkTSMoEkSAyAaEjQQ9S9Xu6Wp7ZNgtbz4EVK4II8wef1hnRfqb72CARZHREU0EWT2XnTH0EsnxC2qtNyaF4HmgQIEMUWCPFOdk4+Vurd85Hw8QcEbEhwsCnfGDsnHL/8nGRBkKF4DA59OnTJwp0HGFVnyOLnGTNvz5V7h7yg+Zk1KhR0R+Ge5EPh33ubOyDfKSF6RwOh6NIKLyGQsmFEDK82PFduPvuu+PKkWRQfAeyz8smnydgWqJNK2iEE4KV1S2hjQgpxpkia6UMiDygH1bLaDew8VN/hPBKhGe6yrZCvr3auL+NNtoo+n9gBkBzgCmKOSBxFEQBTQv3wz2gvUEIp8W0bH0Oa/oQOVQhL2WxRDPBXHN9iAD+FBABzsMkoSRc6Ryn+7gehIKxcz6mD/xZICz8piCwMsvIv0L+OlwfXxvG6ZkyHQ5H0dDihIKX6sknnxyuuuqqmNWQkLtf/OIX4fjjj28gXE866aTwj3/8I2YP/MlPfhKGDBkSBaqAjf3www8Pt99+e3zp77bbbuHvf/97fGE3Bar9IGFGX+xjnKzugWpq2NTZqVDJMnvMbJvmAYGnlTRtZPJUJECWkM5a+aOCJ7kWCZyYPwQ1whONRZZAtyvu9mpD+OL3IXMHkROQCp4tWhpIBFoXtBX8hpgnfkcS1DwnSAdaBhFA5aSQs6NIm0wQ+G2oTgvmJfZT8IvjqQWgJGPVgt8SeU3oh7HyHKQ5kV+OjQICIjzcp1cbre33hsPhqAFC8Ze//CX+J7/iiiuinZpV5/777x/t17/5zW/iMWeccUY499xz4zGssk844YTo34AgkWMiJbTxESBxFC9p+qACJqrxpkACRQJNDnOsEFNThz0ntaOnpozmtrHJKRB1OMKOF6nSN+tcOyYL6zuw1lprRRMOQpXU2JAKfBL4u9b8JwDmgS222CK2kbobggCRghAoQoLng9BgLnA45f5skS80GjIdCTYUlU+OAfSpSqSp4ytzxnE8g2og7Yf8VxCE/L4odS+tkzYVAVOWVJ6HtBWeKbO23xsOh6PpqCu1sIfYDjvsEFXCpF8WWCUgMFl9cDlWH7/73e/C//3f/8V2Vo+cM3To0JhlkRUfjpNPPvlkLPQEhg8fHrbbbrvoa6DkRpWAgOBlhPOlFUS80PWCBwhwOdGpTX9nIU9Izmybpp/rsnLm3iiVztjzTClZ/hms1lHj86JFuHHfRE/YRFpZWpL2bMMEwHMlMRgkQ+XC03vLSyluE2fpOGmfeP48V+ZRoZp5GpNq/RmUJC09h9+QtBBKvZ2lWVJIKdojnsvOO+8cf/uQnc6OWntvOBy1jPE1+t5ocadMVNmE5xESCFDjswqllgZAvcxKHIEn8B+Y+H4EIeCTFateCoDjESAInyywEuRlYLdKGguEmU2TbNNEp8faDYGR7rNtecIpj2hIyGk1y2ocRz98O6wwTs9P2xBU7ONlyid9YFKQoNM5WX21VxsClpc9zx6hzD0r22hWFkr7qdTW0gYoe6lCg+mH/3AIJJ5xmrXTfur8VMOg72qDlNAnG79PbTjHQuRwHEW1biNV7HWUAA2nYMxUjo7z3nA4HO1g8jjuuOPif0qc3KT2/eMf/xhVkUDVIllZWPBdbXwSfdFgoN26xRWsjkkxePDgcMopp8ywPzVl2Be8bN1y3MR+z3jl0yDiQSRCHiGw4L6V0VGaAV0vS8tg2/jE/stYyCXxzDPPRA1D1nFZ98N5ODtiGkAVzzhYnSHkEHZ5faRjbOs25okwTAQGPg0QAREDCXPbT2PaEBE+SAQEgE97bHM1LFljsdEnZNRk7pUXRGYYezz7ceR01O57w+Fw1AChIAPi1VdfHW2W2EJxrDviiCOiunHAgAGhtTBo0KBw1FFHlb/zcsJRLhUK1p/Bkgqc51SNVPtZUdIH92HNJnkgwgIygA1XSazyTBRZY+FvSA0rYFRa9MPqV6gk1PibiAlqV2D+kHBlJUwf3F+W2SDL0bMt21BFQ4KURZKIDOaQuYdYQApE+LLIof3Os+NchJF8MRrTnGT105w2oPofkFF+hzxTW7iNTw8bre33hsPhqAFCcfTRR8fVBjZNgIAjmoKVAC8G/AQAq2grLPkuJ0KOQShaIBxZwev8FAhMRWtYpCvkPL8EhfHxHTKBMCBhESumaj3yWZ3yAkSwI8gRJKo4mbUKTscCZOqgjYJW66+/foN5ynPOFNCmMG7yNyC0UK8jYKlhYrUmWfNiHRpbs42/EfzMESSMZ4sWRYQCIsXzJyST7+zHlJBllrLAbEJfrFrT34IlcOk8tlYb49Y9cT+2oJijtt8bDoejBnwoeKmnL35UmFqRITj4z4291K4KsHGSEhvwiYc/+RUEKjzSBzbT5iDVCqRtegkhlEnApPLUrHgVLYDtVpvs9IA+uffevXtHNT65FCAqCBRpQhobi7QUfPIihFSgrs071v5NG+MhnFGrLO4F2zLmDzkMaqypIMxyWGzpNp4heSBIYoWdnH0QALQJ/M3LnXwa2MEx+TDH/D4wISA82CBdaDDsxpyh1VGoZuqAqU+7tUUbgAxxj6pA6uh47w2Hw9EOGor+/ftH2ydCFdXls88+G84666zwy1/+MrbzQkWVefrpp8f4cYV/sbLH6x0gUFhRH3jggeGiiy6KK7vDDjssrl6q8dROkTowWuGcCmkIAIKXlb7qRaj2A8KaZFg4ftnjyYnAi4wXF4IPAcc4559//rix4kZjAJQ+utJYuF/IBGYAPkk9TeQH34U8YgEYJ8diTmBMkBmICcDJTWNoK/8JmSOYF+qnIPhlTiInhZwe7XNSBU98ICAQ3Ad+JTwb7geti5w3OQbSphTb6TPPmqO2bmOMCER+C16+vGO8NxwORzsTCipJ8h/90EMPjepH/iP/+te/DieeeGL5mGOOOSauKIkPRxDjTMgK2uYIwJ7Ky4BVqhLUEIPeVMgpLg0dzTJBKCkRRahYUXJdefRj+kAAQjJsaKNKiCMkuF+Ig1bNCA+OZ5XNcWgayHnAalyr1ayx2BwKEAMEMKsxhGUqiLLuAxCayBxDdhRBgkDmftCeMAaZcrL8MexYmtvGXBB1gnmD+eW6mIfsPUjIam5FtOScyTnKRsl3ZRfFdMLcML/2nvKec+rD0pZtkArU9fwOsjRWnRm19t5wOBw1kIeiVqB4csLRFP6nMMNUJQ0QSAg+hBY2WY7TSp/YdswX9lzBTp9qNCj7IoID9b6cDBHqpMVGbW9JRSWoNDpakk022SQK4qzxZ40HoUXoqEgFphmIEkIXkwIECQ1KpYqpeYSlmjbuGe0C90wmSq6DKYl5YCyMTw6XCAU5kmqfMk/KF8WSMPlL8JzRvmCaEgm0zyPLTJQWEssjmK3Vxv1ArlhF12o8eWeF56FwdASMr9H3RuFreZCeF00BAl6rWxEL67VPGwIILQDChmN4sVgykQcJD+Uv4Fz8LwjZJA02q2xMF5hDICv4DkA2RCpsP8AKIn440orgYMmqDLVwelyW6QEhC6EChClyj8q/AdGAWNAOaVp88cUbjCHr/qptgwTgUInQxFuflTkaHu6DOVa+DtXbUGSNtBJpTRUgMqfrSKNBlkRVFrVkgnYEN6TGPjvlk0jnPU2S1dJkQr4jSg3ujoAOh6NoKDyh2HTTTaOwQBijSkUAiVjYpEWsliETrKARAggd1NMI7zwykQoPQUKElTYpsBHcEiCQCswRAKIjNX0qhKxvhdJxQwaUxIdxZQmu1HcBUoE2AgHPPaIq5j5VVwKfBggPRAehbIlF3v1l3bvGC4FCcOIYxzUYJ/1CKpSmWtfWM0gJhEiF1ShZQiFSguZHVUs5n/027BdCgWnEjp/noHL1zKnVXul+7N9Z95y2ZR1n/+aZMw40RQoftQ6yDofDUQQUnlBIVb7lllvGlzraBmzvlLCWkNdqV3krEMI4ZUIorFnCCrwsp8a0TcQETYW+s0FsKJ2OMGMVb0mF7VPA4RAwJpXfVhRHJedMtXGfaAgoIIYwxQwBqVAYKfNCLgj6h1CglbEJgvLuz4I5xQkUQoFJg3vGVCNnOOViQGOgUFBgyUSeT0kKOXlyPT07iIUIheq0yH/Gzgv7FCIsQmEJoEqM22RV0malcywTjf7mHtFq2WRcmLd4XpBC3Z+yejocDkeRUHhCYZ30WIkT5UCkhspkC9ijIBC88DlHUQapaSRPwFZqQ1CxUrfCDVKBVzqAVLDKziIv+o4QZh8+D6x4EVKYVew18wQ/94NXPHkfEMAIWzmKSrhyPJoFNswx3D/mFVVozbo/+kLLgkc+2gKICk6pm222WdT0aAwyJ2luEaaQHEVpMMe2Kiz7lb4agc0YlR6dY9lHVk2uJ4c8BLaIl9J3C3nzAgmxc6frAK7DHNlsnTwf+XVo7tD4CFxX+TIU8SMyoT7ojzm143M4HI4ioPCEghe4POq16sRnAI3FnXfeGU0BCApC1bRyJLwPTYbNL9EUH4KsNoSIhKwF2gBFgIhU2HMtUWAFLBCxwXghR2n8fpbWAoJAVVJMEQgzBDLRLFxTyaV0LGOB8EAuIDAbb7xxnBeNDYGK8CaXBD4e+IfQHxvEAHJmCZEVyiIGCHOEMc+CfQhd5aKQWUMmEgl7wLGMF42I6nnYYmC6JmQQgsJ9IdhtfRA7LxYcq3mgDxuJAVFQGm+uo7oj1nShXBPMySuvvBLngvtkn56tfHM8ysPhcBQNhScUkAKFg4ogIFx4qe+zzz7hxhtvjMJT1T0RUkpiJd+Jlgid1FggKhJ8gGvjU8H4EKppFEqqqbCkguqi7MdPI8vPw54LIYC88DdkRKYTMnES168MlUArcAQxZAEBzrgJN2U/fhe0KQMkGQ1FMqRBkEaC+0LYc2/SCGAWUQZP3a9MHxZZvgqYUiBCHCsnTwS4iAD9Ybrh+WlcmHH4hCAp8sPOadacAZW35zjID9cRRFDUB9dFW4L5CKdb7ldZUiFKjEnaD8buGgqHw1E0FJ5QKN0xgoSXvpJV8Z1VLNn1UNergiWrTARsGpKTp4VoapvqUyBc8VNgfAgXrseqV46IQla/CqPkPuSkaUlFaoYROAdSwfUI5WQFjbBnHGgwdM+s/pUoinniGPwvKA8tQUs7m6JHrJBmHtnHvOIEC3mQtkVzL7OGnov2V3JW5BzMNmhQ0Jyokqr6ph80HmgDIBOQAMYDIYJgcJ/Mse4ByPSivtJoD/VfqfYG88Tvhj6YV5EJnjPjhGhYR0z64vk7HA5HkVB4QgEktBGACDHZ2Nlk5pCvA4I1rVDZUmYPwPUwfQAc9rgmAhh/ClbQCDqt1LM0FPqOQMIMwH5LKmx+hazrI3QVZQJJQADyXep6nYdw1Apd1T+ZL1bgXJsw3KzaFBwDIWFs99xzT5xrOSJKgEv1r/EpfTmCFhJg/TrsvSsqhOuiLdDcqQ0ygWmCnBf0w3PkepiwNA6O4TpoVhgrx3M/aGIQ/IoYyYKcP22mSyXcYkyQHZEJ+pFWQvOoFOxyKnU4HI4iofCEAkGDEFA4oBIoITCtQJRAQqVuE9s0JXSymjat4BX5ARBwkAsEHyt+ERxLBFKCgEClDwQ9wpOaBgCfirxoCe1DYPbp0yfuQz3/4osvzlAaWsQAAai00QDtgDW72PuTv8rNN99cdmLUlmpd7HmWbCHgbcnv9Bq6dyUes30wZrQRzAfzQhIwaQMQ5iKRjJHfAfOsjKRoEnjuXD8PjA8NhyUDaCEgK2hvpDmyJg6uy37l3YBwcA9u8nA4HEVD4QmF8hFopQ2UKCqLCOShUujkzLQxFla2yguBkMRPASdRyE5asjsrpJQoD/JHkH6YFfaTTz4ZBRUhouk4sgQ4FR0RkjhqKgIkq+YB8wfRyZsX9W/zaYhQZB2b/m3HiMDNOlZmDcgG0TgUe+KeIWIq3oZghyhwD5ANBD/zK5OMQknRQkGQZJoRQZJ5pxLkjyJwPs+MPiASjIVnx3UgH7qmCATjgLTw7P/73/9WvJbD4XB0JBSeULBCRHDIBq7VIi9/VOO0IyRYnSoV9cyEhja1DbDyR7AgdOQTgMMhwj3VSFjoO/eBqQSCdNNNN8XVNiGcoJqQUoQfJEZ2fyITstT9eeaTrDYbplvNPdDGM5AWSaGb0hTQJk0SbRCB7bffPgp1npm0D9yLrXUCQZOzpgqk8QmZQBOj8xT+Sbv8KCxUR6QS6Asiwya/FGlCrLmGZ8u4dazD4XAUCYUnFHK+Q2ggpORoKEGGsJKHPqtaiEZr+U+kbRKcctTkE8dB1OcIKRtGafsRSbn77rujkCJS42c/+1m44YYbIqmoNqQUcA1W+6TihlRAZtKkS1ZDkDWW5rYpCkdzgtCXP4dMBGwQhp122imSCqJM+M74OQbyoEgeiBqfNiGYCAz3xtziQ2EdQOUoau9ZeTGsQ6YlQgpZ1T3oPtTO7wqSCoGRr4g0Y1nkxeFwODoyCk8oECC86CEMEtpWDZ2nereahZYKG81qw29DxAZBybhwkqQGRiqA0/tCiKJuJ5wTYmFJRbUhpbRxDKDIFsJWSaYs8swvLdkG+bFkgvuQPwXPDOEM4RLBgHysu+660W+CaBIVDOMTEwjaH/WvkE/a6JdzFUacB43XJsriHMbHJ/NOcjTaMb3ImZRnA3lgXhmHTeWdF4HjcDgcHR2FJxTyzEcgIRQQJNYpLsuPohLJyEJz2hCiCCdFP8gxUStpSFDefUEGrrnmmqiJWGeddSKp+OlPfxpuueWWaL+vNqTUkgqICNdlS4lIJSHYEm22aJucGWU6wAF11113Ldf+0Lg5B6FN5AwmG9UIUcionWt9Kowzbddm91nNBSRBFV/RkHBt/oZMsPEM6RszEloSmW3yzGEOh8NRJGTHxxUI1n6uF7v2VRL2KbL8AFqiDSgPBCQCcoFvAI6VSlmdCjl9R3ixOiZKAwEMGcGnArMAan60HpAK5YrI6kOfMpGQolvAr8Ou4rMEru1nZtsAwpg5EJlQVAarfsaE9gXioHOVyErJsTB/IPBFQLh3W9XUwobWcrw0EDJZ2I02roujJ0XWuA6QFgWCynVph9RA6viekgldr9LvweFwODoyCq+hQFDx0lceAkFhoxLMCAobLlqNEGipNq2WWdWy4lUiJgSTHP7yHBwRpsOGDYt1NziHdtKIc7+kFicSotqQUkAEBc6qmAUQmgh5JWGy5ho7FkvMZrZNNTBSMkGSsf79+8dxpORApiz2STNALRGFdsrPQdqcdBxp6mwB05MiVFQxVXVdlAQL0wm/LRwwmSv65h7QKKWmFKsVcjLhcDiKisITCqAVqBVI8qGQiQEhoggPkGovsqIkWrINXwoEkyIR+JtVLw6aqllhz1N/CFKE2x133BF+9atflUkReSY457bbbmtSSCnaAOYEfwqRCuZHDo5Z92D7aGobQABzTa4nMwfPh9U+2hbInn12IgjKasn9M0a0MqoRYjUZacVQ/RakteFcTCoci5aI3wHtzDvX5nngg8F3pSWXlkMpubkHZWK1zzbLxOH+Ew6Ho4goPKGQ6tsWv+KFnpdYKM/ebW3uLd3G3xABkQM0Ewgx2jT2rBW2zkXoQwB23333BloW1e5oSkgpQLiyj5LmCGip+UUqLPI0J421WXB/rPRF8lT+fLvttovC3WoR5Hci7QPfpY1Aw4N2xV7XloUXKZEzLnk4uDe+M9/MvZKKybFT1UVVf0PXZyOzKdokjodIKMtmniNtJSdbh8Ph6OgovA8FkIOcFUBNyVTYWv4TqckDc4ccNJWgCROE0j3bc62AQmgikC+77LJy5kdFTaCRkP8BQpKQUjJgpr4ZdhxsRFTggKioBgSvUpJnrbaziElemwQwWhk+lQNCZIJ7JnrDaoyAyID8JiTkZZLh/mxiLOZFREykBA0Mmg9IFSYSPhmH+uAaMqUA7lk1R7gW+xWGylxDspgjVWO195xuaZvD4XAUCYUnFCIRivvXijWv2JN92VsNQqrCbuk2/pbaHPCpfAp5wt/+jWCmvgarZns9JVQSqUBwEsmBo6Z1VE3ngP1U6bSkAkGaV+ck6++sNoWGKrOlwkJ5PrTjoIo/CNexGSbTZ6N8IjxPxoVgJ5eGJVkyc3Ad7mXzzTeP0Sz4QzAGmbw0v0qApnMFaR7ss2G85OzQd2XJtM8zy7yV1eZwOBxFQOEJhQSQtZlXWiHmvewrCYKWbpPwRiugAli2oqcdqz4ReB999FG49NJLy6t0QaSCkFL6RFDnRX/YOaBPBPHGG28cNTz0g9YAAZs1b3mwbSoARtglnxAcrkO/W2+9ddhss83KTo04VyK4pV2wNTQYqwQ72gE2kZKUTKDpwbyBJkIaIPbb/BCap7QIGe1KfqbrKp0715OmRKaOLN+ULDOHaygcDkfo7ISCUtR43fOS5gVJzgMLXpQnnnhiVFvz8u7Xr19UsVvgJLj33nuXfQUOOOCAGezzpINGkKFiRv1+xhlnzNQNShDIbp612k/H3x5mj6xxM3+YLBC2kASN3fph6G8EGnP18ccfhzfeeGOG+6SdZ4aaX2afakJKOY8oB8q8y6fAkgodq0RR6aa01bZPrq0kUPT1k5/8JKbTRuBLmEt7ISEsAS+tCn3TV/pcdb7IBL9DyARQcThd35ZO17NQCXXlLuG41BETMoGWh+MhJ2gnbChqat6xc9uYP0lR0dHeGw6How0IBS9TIgguuOCCzHb+A5977rnhoosuiuGKCB5WnjbVMC8F1MX33ntvjE7gZXPQQQeV2/EH2GqrraJjHoWrzjzzzHDyySeHSy65pMk3qERIVvBaB8fGUEkItHSbzAGqH4GARYhjBlCGz7SPdIX97rvvxrknN4UlINj7me+nnnqqLPwQlDwjSEWWALQra54FybNEKqz5Q9EQRMogELTxnXsQqVCeB0gAL3v8JDBvcC59ysFUWgmRBQl6q21SinRpGixhUU4JxkDxNISL+tc8ijjo0+at4FjGzP1xrsYvp05MSzYMWcXmmuucWmR0tPeGw+FogyiPbbfdNm5Z4GV5zjnnhOOPPz6G+4Err7wy1jJgRbLnnnvGMEiqYxLGSKIgcN5550WP/r/+9a9xBXP11VfHlz5OhggA8iqQivqss85q8AKxYCWpVS9Q1UiprDW+vGRHWfeSZQNv7TbmCnOA1RqQMInoBUwEqi+RtQpGEPIiRkMxZMiQcPDBB8fVOS9lXsA4ZCobpZwbmbNqQ0rRbnCuQkohFcrwyXURvBLewApdMknynbwSHEd6cc5h1alnZGtj6P74LsKgTY6TMssobBP/CGln8JNYddVV4/ik1dDxqjAqs4XVPnAtfnPS+CjxleYCokaab2VdtSnKU4fUVNtj2zobOtp7w+FwtLMPBSu3sWPHRnWlQBgjxaeUBppPVuF6KQCO5wWuBEwcgzOgLVLFauXVV1+NdvUsDB48OF5LGytgvbyVollCoxKZsKvyVBi0dlsKBBZzwEqb+0doyj8iFfzqw5KKCy+8sFzjgpUdc4AApB98Itg4B/U+IaWkrk6FYHoNVn+YP+RAivpZZIJ9aCQwY7ChWeE77XzHH4MoCwS/IidEDlLCYP9ONUp2zlS7g/tCg8L4IDpcj33qQ5EhykEhvwdLFmT+sMIf4gRhkdkDYieiJGdMaTDSZykSY30rKj3vzopafG84HI52JhS8FAArCwu+q41PBI0Fgg7BY4/J6sNeI8WgQYPKJavZePEDJTaSo54NOawWbek/IVIA+IRMsPpiZY9gtvk0dEzqFChSQeGqv//979EWrSgGVt2WVCjfxcyGlEowKqumnB5VplvOpXxCPtC+cA+84G36bN2L/mbVaOdBpBBofLpvmVG4HmYWmY2kRQDW5KW5l++Fyolb84ciPkQ4GM/zzz9fXsHKJKIx6BqaD0uQtKVtjtp9bzgcjk4c5YEQQ2DZDcjGb8mFTT6Uwr7srWkhVWG3VhtjZZWt8FaZFPikOBZ/2ygOXqiYRNjki2BJBT4VqHxVbVNOixoHglSkYmZDSgGmA/l4WP8OroX5AcdOCIxKhytZlD3eJiCT+UP9yBQiga+/MVswHxzPnDEGmSLYp0gOq1UQ2UD7YImYSArn2Aqj9ImGB62PTDCqImqJqX2eVivRWJuj9t4bDoejnQkFq0PZyy34rjY+ESgWvLyxpdtjsvqw12gKJBjk/S9Bk4W8l30lQdCSbZYA6bs+IQwIZ6ntAceixUBgQwzYLKlAJY82AG2FslGm9ytSwfEzG1JKO88I4pKSJDmZWgKhcvIiJDJDKArDzg+fcuhUFVIIDGNln50jmSasrwV/23L1Go+cNO3xbAgZzQVkBc0ENUKUowKhI42JEmBlmTIqmbVcQ1H77w2Hw9GOhAL7OP9xR4wYUd6HEMPGid0d8IlzIV7YwsiRI+PLGpupjsGD2+YdwLObrIZKA10teHGzKpYg1crWCkuurToSbWXaaKwtPY6NVTFOaLon24ZgxBShImeKOlCtEuaSFXYaZiehjWBEUCrVdFNCSjfccMN4LvtQLaekIut+NDZpEoBMFNIgiAzwqRwTds5sVksRAplbRKrUF/et89QuAiMiwXfaFLbKNZkzRcEwNp6B1fDY+7HzmZIJtem3lpXGvLOiFt8bDoejDQgFL0I8p9nkUMXf7733Xnx5HnHEEeH000+PRaleeOGFsN9++0UfgJ133jkeT3ntbbbZJhx44IFRvf7www+Hww47LHpycxzYa6+94oudOHNUzddff330BTjqqKOafIN25Sk1fpp6m7+pyZBlZ00FRFu0ZX3XOZAFqoba6AMBYUr6bvwVpJK35g9IFT4SaCsk0Kz5BW2BJRXVhpRCKnCIJEoEAc2qkIydCM4sYqES46wuVSIcTQACHFKn50MbffFsPvvss9gn7VxTGgp+JzpXmhsIFG0QG5mHbGIz5kXOlMqUabUiqnrKvfP7Vk4QJffKgp2jrGeo3yH3zP2QL6QzoaO9NxwORxuEjZLHgBTGgv6zDhgwIAwdOjQcc8wx8aVPmBYrCvIMEO4l1TAgvIuXQd++fePLe7fddosx6AJC85577gkDBw4Ma621VvTYJ+lNXuhXNZAgsB7/Womy2kfAWKQRDlZQtFWbPUafrLTwdH/ttdeiEGQlh0lDtSRUA0Tn0q4U05AKBC/RHKiPCSlNE1TJBCHzCC/vaquU4seB4xxEBAKg9Ng8T8gF/UFYVE4e4VoJHM9vyYL7gCTQJ2PFkRThjIBiHwRE/fNMmReZLhBUtPG7ZB44n318h7xwrCJrGK8cL/m0Zqj03u0zTJ+tbYMQKdqgs5k8Oup7w+FwVI+6UkHfbAhEXjCoURGgCAmcHRHIhJEh8BB2iiZQEiRW/9YbX0h9IFqzDQGOkGQlmxVxwb2hyiU2H6GIhoAcETZcDoHJ+QhtVuryuVBUBS9vhDurbuL1UzU+53MexyKY11hjjUgqspxKLbgOK3vqaihagvMhbXxHtW2TQLHhiZ+VzjsLjBvSoJBVKqmmtvWWgDKL8ptAwHFNOz8IOiJvmD/dC0ijOfRJdAtkQiQDAoMgZY7dEbD23hsORy1jfI2+NwpfvlxmDuuEaSMY7Evf5ijI0iRkOVa2RhtjRVBJHa+y2jJh8ENC2JE7QkmfrB+ABB7mD5u2WiGPKjzGPup/sJ9+0S5ATGQ+4cWKMFVIKedBuNKQW3sPtJFnAohUyKdCqbXl20D/kAmbjVLPIi8KgnuHFGKegizJjJFqEJoDXRuNAhoaSKcycnI9OW0yv4ooSc1CeiaszLlHZefM8rtwOByOIqDwhEIvfKmygUIMreBCaOBbgO+BNRnkOdq1dpuA4GJ1i9BFhSuBLGdG5UrgGFb/VtirngFQNATkwV5b2gLaMRt88MEH8TtaCyX7gRCgYcCUwXkQhixfAo2bNpEKsmqqJoeIGqQAbVEabZNGvaR+CYqA4Rw0M6z4lTmUOUgTTKV/Vwv6ly8H53MdzTWEgt8IbWiIIGDyv+D3BVFjrrhH5hTCJo0Ez8+JhMPhKCoKTyjkzW9zEmhDFa/y2QgkOQhmodKquTXaBNoRYggp5dEApK4mxwRCDZU/98L4baIlRX/g34AJAzMKwhCtg5wybTSICBcaCRzmENCkr0aQKscEWgdgSUVW+KslFazyGb98PfC1UMpq62uQRySy2jBRMS94+DMm5kBaBJ0r4tVUIa4wU5EUSJi0KEqkBcmCLEjTwydmEWz3kDKZYWjD30VjQ0tj78PhcDiKgsIktsqDIgEQLBKiCEyEAgIPQczLPXX+S5EXldFabRaywUu7YLUsAIHPvclGr771qXwUrKbJHYEGRsms1D+QBgHhqKycEAscFyEjCEc2BHhjIaXqDxMJQhY/D8aLGQHBax0yUzKSjj+rjb7RvqgSKmYFaWukwYAE2PLi1W42EkiFzxSSqjBWiBm/GYgSc8pvimtBJvDPURQH+yER9FGLNk+Hw+FoKRRWQyGhhrc+wkCZHBEyCAIEsPIbsCkDJfvlU5BnmrDXaK025cWQUENQIqgQWtIkaBUtXwjZ9+UoaPvWtegL4csn56GtsO32eFv4SiGcCEbOHTVqVJwvSErqqJk+B5EYQvkgJxAShCvaD0JcUyfPdG7y2gDjQaijseH+8a0Q4bCpvC2yTE92DmwiJPqAECjxV3pvCl9dfvnl4yfEj3tFgyLHTlW8tQnJbFZRR+3An4ejI6BUo7/TwkZ54A8hlbvDUaugdgSEy1Eb8PeGoyPg/Rp9bxRWQyFbNYlzPAyseqCdwZTAD9ZV9K03Z/B4tFByAHbUBvy9MXPw98bMoanzVuvvjcISCqmneSn4D7zp8EJJrT9nLrBqD/7eaB78vdH681bL743CO2U6HA6Hw+FofTihcDgcDofD0WwUllAQoXDSSSc1iFRwNA6ft6bD56w48Gc5c/B5mzkUbd4KG+XhcDgcDoej7VBYDYXD4XA4HI62gxMKh8PhcDgczYYTCofD4XA4HM2GEwqHw+FwOBzNRiEJxQUXXBArWlK3g2qUVLvszDj55JMbVFllW3HFFcvt1KMYOHBgrKtBHZDddtst1u2wIHPg9ttvH4uMLbjgguHoo4/OrczaEfHAAw+E/v37xwx0zM8tt9zSoB3f5RNPPDHW6KDwWL9+/cLrr7/e4BgKnu29994xQQ21Pw444IByQTph9OjRYeONNy6Xlj/jjDPa5P4c1cHfHdPh743q4O8Og1LBcN1115V69OhRuuyyy0ovvfRS6cADDyzNPffcpU8++aTUWXHSSSeVVlllldLHH39c3j777LNy+8EHH1xaYoklSiNGjCg99dRTpfXXX7+04YYbltunTJlSWnXVVUv9+vUrPfvss6U777yzNP/885cGDRpUKgq4pz/84Q+lm2++main0rBhwxq0//nPfy7NNddcpVtuuaX0/PPPl3bcccfS0ksvXfruu+/Kx2yzzTalPn36lB577LHSgw8+WFp22WVLP//5z8vt48ePLy200EKlvffeu/Tiiy+Wrr322lKvXr1KF198cZveqyMb/u5oCH9vVAd/d0xH4QjFuuuuWxo4cGD5+9SpU0uLLrpoafDgwaXOCl4M/FizMG7cuFL37t1LN954Y3nfmDFj4n+MRx99tPwfpkuXLqWxY8eWjxkyZEhpzjnnLE2aNKlUNKQvhfr6+tLCCy9cOvPMMxvMW8+ePeN/bPDyyy/H85588snyMXfddVeprq6u9OGHH8bvF154YWmeeeZpMGfHHntsaYUVVmijO3NUgr87GsLfG01H6OTvjkKZPCgJ/fTTT0eVks3Nz/dHH300dGagYkMlR7lxVGuoIgHzRRlzO2eoNXv37l2eMz5XW221WPZc2HrrrWNhG0qSFx1vv/12LItu54h8+qjE7Ryhqlx77bXLx3A8v7/HH3+8fMwmm2xSLj+veXz11VfDV1991ab35GgIf3dkw98bzcPbnezdUShC8fnnn4epU6c2+AEDvvNQOyv48Q4dOjQMHz48DBkyJP7IscVRtY554UfKDzpvzvjMmlO1FR26x0q/Kz6xEVt069YtVq/0eax9+LtjRvh7o/kY28neHYWtNuqYjm233bb89+qrrx5fFEsuuWS44YYbopOQw+FwpPD3hqNTayjmn3/+0LVr1xk8jfm+8MILt9u4ag2sKpZffvnwxhtvxHlB3Ttu3LjcOeMza07VVnToHiv9rvj89NNPG7TjzY73ts9j7cPfHY3D3xtNx8Kd7N1RKEKBCm6ttdYKI0aMKO+rr6+P3zfYYIN2HVstgXCkN998M4YxMV/du3dvMGfY5bCVas74fOGFFxr86O+9994Y4rTyyiuHomPppZeO/2ntHGEHxr5p54iXK7ZlYeTIkfH3x8pOxxBihu3ZzuMKK6wQ5plnnja9J0dD+Lujcfh7o+lYurO9O0oFDP3Cg3bo0KHRe/aggw6KoV/W07iz4Xe/+13p/vvvL7399tulhx9+OIZxEb716aeflsO/evfuXRo5cmQM/9pggw3iloZ/bbXVVqXnnnuuNHz48NICCyxQqPCvCRMmxNA2Nv5bnHXWWfHvd999txz6xe/o1ltvLY0ePbq00047ZYZ+rbHGGqXHH3+89NBDD5WWW265BqFfeHcT+rXvvvvG0C9+q7POOmvNhX51Vvi7oyH8vVEd/N0xHYUjFOC8886LP3RiygkFI7a3M2OPPfYoLbLIInE+Fltssfj9jTfeKLfzwz700ENjWBI/0l122SXGnFu88847pW233TbGPvNS4WUzefLkUlFw3333xZdBug0YMKAc/nXCCSfE/9QInb59+5ZeffXVBn188cUX8SUw++yzx9C4/fffP75sLIhD32ijjWIfPAteNo7agb87psPfG9XB3x3T4eXLHQ6Hw+FwNBuF8qFwOBwOh8PRPnBC4XA4HA6Ho9lwQuFwOBwOh6PZcELhcDgcDoej2XBC4XA4HA6Ho9lwQuFwOBwOh6PZcELhcDgcDoej2XBC4XA4HA6Ho9iE4oILLghLLbVUmGWWWWJO8yeeeKK9h+RwOBwOh6MjEYrrr78+HHXUUeGkk04KzzzzTOjTp0/YeuutZ6jK5nA4HA6Ho/1Rs6m30Uiss8464fzzz4/fqby2xBJLhMMPPzwcd9xxMxw/adKkuAkcT/nX+eabL9TV1bXp2B2OxsB/uwkTJoRFF100dOlSs7y+3cH/448++ijMMccc/v/Y4ajxd1W3UIP44YcfYinXQYMGlfdxI/369QuPPvpo5jmDBw8Op5xyShuO0uFoPt5///2w+OKLt/cwahaQCRYSDoej9t9VNUkoPv/88zB16tSw0EILNdjP91deeSXzHMgHJhJh/PjxoXfv3q0+VoejOWDl7Wh8fniZzTnnnO09HIej0+Hrr7+OpL6ad1VNEoqZQc+ePePmcHQkuBq/uvmBTDihcDhq+11Vk8bb+eefP3Tt2jV88sknDfbzfeGFF263cTkcDofD4ehAhKJHjx5hrbXWCiNGjGjgnMX3DTbYoF3H5nA4HA6HowOZPPCHGDBgQFh77bXDuuuuG84555zw7bffhv3337+9h+ZwOBwOh6OjEIo99tgjfPbZZ+HEE08MY8eODT/+8Y/D8OHDZ3DUdDgcDofDMXOY+MOUMGuPbsXOQ9ESnqlzzTVXew/D4agIopHc2bDx/8c+Tw5Hy+P4W14IVz32Xrhl4E/Cj5eYu9n/B2vSh8LhcDgcDkfrAjIB/v7f11qkPycUDofD4XA4mg0nFA6Hw+FwOJoNJxQOh8PhcDiaDScUDofD4XA4mg0nFA6Hw+FwdGKUWqgfJxQOh8PhcDiKm9iqvUGl0vXWWy+m/Gbr1m3aVCltxxtvvBG+/PLLWHOE2iOqE097mtqD75MmTQrffPNNq4+7V69eYamllorjag4Y81dffRXjj6vti3maMmVKPHfcuHHx/KyxzTLLLKF79+7xeErV63qAarIvv/xys8bucDgcjurRUiUKnVDkYIUVVgiHH354FHqTJ09uIABHjx4dCcKiiy4aVllllSggqcQmMsFx+uT4jz76KPYh4Qlo1zm2ilv6vSlA8M8333xhm222iQRI/UhY63pC1nXUDll65513wmqrrRbvPUXaN5/cn4jXd999FyZOnBg+/PDD8v0zH/PMM09Yf/31I2GjX9KpC8zpdddd54TC4XA4OiCcUOQAgamVOUKSlTer5/vvvz8KR9CnT58owNE8ICzted9//3147733opDk3ErXsQI//V4NREIYJ4LaahQscUmvm7br+oB7hDAh9NNjbd+2L4q66e855pgjzD777GGBBRYIq6++euzviy++CE8//XRMob7IIouEH/3oR2HJJZeM4+ZcS7gcDofD0bHghKICpGmAFLz22mvh7rvvjvuXX375KBClBUBwstKeOnVqFIrSSmj1naeFsELcmkpSItGYhoFPtCQQHDQmjEsaklQLkqW1yLpmNQQn7Utmn/R89jMmCAoEA6KFyeiFF14IY8aMiXVaFlxwwdCzZ88Z+nA4HA5Hx4ATihxIELKyfvXVV8M999wT96+44ophiSWWaCCk0QjgH8AKHCKB/4AIgl31pwQiT4jnaQ1suwWCeM0114wl36WdgExAhFLIx0GABOle7THcC74hedfMIinab8dq93MNxrrMMstE7QRjfP755+PcQjaWXnrpGa7jcDgcjo4BJxQ5kMB86aWXwn//+9+yX4WEHoJYx0E6Pv744/D5559HR8RUo2AFcmNEopJA1j67H80EZIJNZEIEAZKTApKhMeMn8e6770ZHSXwbdB0IBcJ+3nnnzSQ16djsPghDY6Ya+mdjjGhVMKtQgOaRRx6J2guHw+FwdDw4ocgBgvTxxx+PPhOQB0wJ+CdYPwn2IxhR30MoskwDdhWfRyayNBfpsVkmE8jExhtvHH0U5MORdbw9D18FyARjZvxoCiATqQ8IQt46dkJOGjNHiFA0BhEK/Ew4h/HzN+QGzYjD4XA4Oh6cUOQA4fbggw9Gp0FKti600EIzCHWE8oQJE+JKv1rtgkXe6j/vWO1nQ8BvtNFG4Sc/+Un8jr+GnEWzztH40AB88MEHYbbZZitrByAWCHRLKtiPY6XGYZ0zG0Oew6d1HtXGtYkG4X4wJ6ERcjgcDkfHgxOKHBC5ga8EK3gbNYHQhWx88sknkUxY00eeFsIK9Cx/iGoEtdV0EFmy7rrrxk1hmjiGMhaIhZxJU1IDmWDsaATIL5H6gIiAEC6aZb7IIkb2OpW0Kln3Ky2IomgY+8yGzDocDoejfeGEIgdoJCATipiwZOLNN9+M2oAsQZonbPMEZbVho/KLgEygmUC7YIkObWxoUxgneSAwb7D6Hz9+fCRA5ITgPJGJ1LEUoKnA7ED+ifQessabIs+RNOt8fTLHMrNk+X04HA6Ho/bhhCIHEnISgqygMRXI9yALeSv05oaNQhQwP0AEcL4Umcgyi7Cf49FY0I4W5amnnookA40G/aRj0DXZcCrFudRqJ7KcTO3Y0nEwBshMHpjL1DzD+LLuyeFwOBwdA04oGgGCjhU7UQiQCWtOyMrlkCV8mxM2ipCFBBBxscYaa0RzhQRvXnipPhn3qFGjotDffPPNYx9oLJROHMGekgOLtN+sFNxoFapNza1+ZOaw1yF3R+pY6nA4HI6OAycUFYCgw0xAHgq7os5T+1unzCyHRLu/mrBRmTBWXnnlsNJKK8UoE/Zl+WPY6/OJlgEywTGbbbZZJBMAZ0wgR0zAvSkp12effVYmCjblthw1m6NByMsxIX8NaSkcDoejyCg1o8RCLaPF0xIOHjw4rLPOOnFVTfbDnXfeOQpkCwTZwIEDoz8Aqvnddtst2vgtcCDcfvvtw6yzzhr7OfrooyumsG6NB/7+++/HDJmpel7IMgnoM9UWVPKlSM0O2jBxQCQIDYVMWNKRVTdEgEwQ7go23XTTMpmwQHBDLuyGmQKzDuBvhLw2m1a7mrlL/STSz/TeAWTJCYXD4SgyDr366bDt3x8Mk6cWTyPb4oSCVTFk4bHHHgv33ntvFMZbbbVVgyJQRx55ZLj99tvDjTfeGI8nu+Suu+5abme1DJlgxUyyoyuuuCIMHTo0nHjiiaGtgC8BzpfV1JdItQtZQrOSRiHdj1aCLJXkvoBMQKryiIjMF/obDQNzimCGTCjHRNam66N5IKeFipxl3UPWte39ZoXMZvmOVNOfw+FwFBV3vjA2vDJ2QnjynS9D0dDiJg8KP1lABNAwUBRqk002iREHl156abjmmmvCFltsEY+5/PLL40ocEkIlSlIxU3GSDJVEW1Dr4bTTTgvHHntsOPnkkzMd/sgAaVNN4/PQHKBFUeKlSlENFi0RNgqZQBvBhr8EUQ9ZvhnpeNgHmXjggQeifwJkYu6556445lSIpz4Mle67sZDQSsgKsS2i+s/hcDg6E1q9EhMEAkjtDrFAa9GvX7/yMSQ0QoA++uij8TufhC1CJoStt946koS8xEeYWjARaCOHREshDefM0kDkhY2mfWT1rfPRSlDnAqIFsbIhlFmhmPa6mDlIxGU1E1ljTv08sjQDivBITTdoMBiTCF16XmPmnKx7zxubw+FwODoWWpVQsOI94ogjYjbHVVddNe4bO3ZsFEisni0gD7TpGEsm1K62LAwaNCiSF234P7QEmqKKzxOweQRE+5VfYo899gi/+MUvIhlKiUmWSUFtzPMTTzwRNROQEZG3vOtCOvBdUchnKuzRjEAeUpIBmWC/PU/9peGjWf2mJMWOyeFwODoVSqFwaFVCgS/Fiy++GK677rrQ2kDgYS6wW0ugMc1Cqp3I8qWolM9Bmomf//znMWEVpCAvfNISBIS4Qi9feeWVmP578cUXj/edkg97Lc6h9PrCCy/cQNNgz1END7sfwsB5bDhwKgKEPtCG4OchspHOUyUNib2+E4vGgUmrf//+sTor83XLLbc0aIeQps6922yzTYNj+K3svffe8bcCsT/ggANiZliL0aNHR/8dnikE94wzzphhLPhAoV3kGDSKd955Z4N2nil+T/xmIKNoJV9//fUWnQ+Hw9EJCMVhhx0W7rjjjnDfffdFQScgyHB0pMS3BVEetOmYNOpD33VMeyAv30RjYaO2LRX2RMMQFbPhhhvGOeHFzvxkRX6IRCijJL4pkI9nnnkmmkoQ5giLrPECzmX+0GDgH5Kn9bDjT7UOEIg0agTtCoJJ2S7TfvKukwo+R+PAuZnEZhdccEHuMRAIitVpu/baaxu0QyYwHeI0zf9RSMpBBx1Ubse0iCM1dWwwUZ555pnRd+mSSy4pH4OzNCQYMvLss8/GaC42FhACJOTcc88NF110USy0BxHFdKlwZYejU6MuFA4tTigQHpCJYcOGhZEjR8Zy3xZrrbVWFDojRowo7yOslDDRDTbYIH7n84UXXgiffvpp+RhefsrJUCtoTtgonxAA0nvjrEpUCcKC0NiUTDBfCHI0GYsttlhcnUImIBW88CFsrBTfeuutBgW+FPqJoOcTMoHwJ4oGs1Bexk/MSlnmEghPlvmHa9Gv/DbsnNh7tvuVTZMtJSGOfGy77bbh9NNPD7vsskvuMXrW2lSaHowZMyY6Tv/zn/8M6623XtSKnXfeeVGLSLQVuPrqqyOpveyyy2Kk0Z577hl+85vfhLPOOqvcz9///vdIXAjnxqEap2myuJ5//vnl53zOOeeE448/Puy0007RjHbllVfGa6RaFQscqyE0dnM4ioJSwf3EurSGmeOqq66KURysvhFObNSWADhMsqo56qijovYCgbj//vtHEoEjImB1BHHYd999w/PPPx/uvvvu+GKi72rKY7f1D2BmwkaVZ4J7RaXM/EAmrLkDYYs6meNwWoVEIBzYIFek1EY1jbmB/BGk2VbfnMsxEBD6wAcFoU8bxEDJrLJMDWTYTDULCBj654UP+bFAK0Jftjqp7jtPgwOh4H4gQ/LNYLMZNB0zB3KQMLcrrLBCOOSQQxqUhMfhGW3S2muvXd6HKQJyixZBx0BybTQVmgWIv549x1jHah0jx+q33347/r+3x/A7hsTomLZ2rnY42hv1xeYTLR82OmTIkPhJdkYLQkOx74Kzzz47vsBIaIWA4kV04YUXNhA2qGJ5GUI0UJUOGDAgnHrqqaGt0Vpho5gNIFBoFlT+3OaGgDhBFBZYYIFy1krbL+c8/PDDZbKBUyYEAoGMIEBIQyKkCVDkBiYVVn02v0alZFMaM4QBEoKQQGWtZF/0owqnTQVjwjmU8emadjXtaDrQGpDTBc0geVR+//vfR60GQpzfAs8PsmHBb4bfo3WKTjWL1imaZ5TnOG37sOdlHZPnXM1iQ+C36qTCURSUCq6h6NYeE8ZKFBtwJTsw9tvUyau9kCZqakrYaNZ+yBQvZdTWCH5WfQhsmSBEJnBmy8pQifCGUHDeUkstFfNPcC2SgcnEAbmQKUERG5AJfFFUNyPPLJFV/tzm5sjyC8nLYmp9MVKiwrgZqxJ3eert5gPzhICjJKYG/GvQWvTt2zfUOpSZ1eEoIuqLzSdaPw9FR0dLh40iMDFD4MCG0JefiBwueZmikckjEwCNAI52mAtQaxPlgaMe50IeIBKYH9AiILQhAZgrWBlCKmwCsCyHSAQ7x6dRGKkWRYAIYXJhEymqFDYKGBvjYkzcDyYf/DpSc4qjecBHB98bCtsBfCqsbxKADEJQm+IUnXeMbbfnZR3jcHQ21BdcQ+GEog3DRgEqfkgAuTm0GodAQAYgApAKzBxZZIL+EL7YsvkbcxBObpwv1TLnW/U0Ca/eeeedWOSMc7PIkcZM7g60FwgXPPftPWT9rfFxDlVM2dJU5ZXCRjkWUsE9cG1pWhwtB0gePhQQVMBvBh8afJcEnKchivg36BgiP2wNG5yi+d3KJMUx1rFax8ixGpMJxMEeg/kCPw0d43B0NpQK/npzQtFGYaO2ZgY2bMweMn0QtYEvBMej/lceCPXDxgoeQQAx+M9//hP7QNOAnZwVKOfZ8UAmWPFzjDVV5Jk5OI4cARIiNlokax7S8eWh0jVFKti4rhxFHflAw/Tcc8/FTc6P/E2UFG1EXZDCHhKJMCfCYtlll41+SoCIDPwsDjzwwOh3gx8OUVmYSvgdgr322isSWpynCS+9/vrrY1SH9W347W9/G6NF/va3v0UNGWGlOAnTl54zSe2ISLntttti1NZ+++0Xr4F2zuEInV1DUQqFg7vUt6BvRZZTpv6GTOBdjyMmiYmUV4J9CHMlFoJYyPeBvhC2EAOZLXgxs4/Mo4SJci6mD10XLQFCBkIg4WzJTV6oKytZhQ0CVrUIKRw+8+6Za6QZMrP6TvNxpMfblbATispAaG+++ebl7xLyOC3jEE3UD8X0IJ8Ib6KICOm0fgmEhSL48amQczT5IgR+g9TTIaqKMG8IKwmqbK4K8qYQyUX0FY6fyy23XAwHVUZccMwxx0StGOcxHkJUISFpFlaHo7OgFIoNJxSNoJoMjlkOh/YcNA4QBxwwWS1iorCCGYKgsFrbB4IWezdkg7+xdaOR4FgELwQDTQWqZfVnnTvVT/ppyY+uD1EByy+/fPS/IFkWWg4RitTEwydmEXw3FOqZZfrJ0+Ckc+WmjupA9FSluSLEujEQ0QEZqAScOakNUwm777573PLAcyUyqz2isxyOmtdQ1IXCwQlFG4SNsgpkhchqj8qplkygYVB2S1aGkA4IAURCRINj0AZAKvhEg4HWAnKx5ZZbxv5FDJoavsl5r732WtRIcG3GCFFJtSzpfTFG65ORd+9510yP90yZDoej6Cg1Pbq+Q8EJRRuEjSLwsUnLV0JA40BqZKn8OQ5CgHMiWgn+hkzoemgNIB+sUsl4qKgOjsHUgToZJ8xqkkNxTRECzCkQBGzrylSYFwYqYFZhnFnzlDU3WfPW2Lw6HA5HkVDvPhSdG9VqJ3RsurLHTwLHS2zL1vYt7YQEN98hC2wpkVB0B3ZoBD+faDAwn0BQsJvjPU8bTnhEiTQGfCYgIJAH+oec4MSHpz7Xh5Rg7kBbgQkknQ+0ITZENHW8bCwFd96cORwOR1FRCsWGE4pGkCfsskwhWfsQ1GgelMFS+6WJsKTBCmntE4jAILSSfsjVYH0uSGBEzQWgUFRrUsgyMUBG9tlnn2hzh6xwPj4TOGYqNwSp0dGUEBlAPgNMIqmWA82IrcWRlXuiMcfQppA2h8Ph6KioL7gW1glFK4aNItzRIOCQSQx/epxNGGXJRLqqV0QFIA0xJAXhTpZMHQPRyDMdZJlhMHNQJ4VPCAmFnRgDOS5I0wxpoQ3NB5EFlLLG+VNOmDj28YnvhUJes1BpLE3xT3E4HI4iEYpSKB6cULRy2CjABLHuuus22CfzRZZmIs3xgCYDEwX7qf3BuWgFEOqNEQg7PoFrofHAD4IibJAJtA1EbZBTgCgUQgUxqzB2NCOkbsZfg2tjuiFREunRycDIMWT9tNdrSthoUxw6HQ6Ho6OiVCq2tsITWzWCahwF8zJkImQR+iQVUr4GHYcpAcGepZlIQy7xq0C427TVKvaVJaizxqJPrkWyIsgDWg58O9B+4IcBmWCc5BQ4+OCDY64BTCHkKdhjjz2iyebll18ua0s4FrLBvWT5SlQTNtrUuXY4HI5iEIpQOLiGopXCRtlkmsBfAeErEImB06XCQe356TXT3AD0R4QHqbvTaI7Gxkk7xIS0yziDUsIakoBZA40FY4RAkFuA65Awi1wEJCRCG4HJg2NsAS/6JOMiSZJIK+5how6Hw5ENq5UooobCCUUrhY0qtTYREjbpFAQC3wScKkUmKjlPco6KeeGrgImB8+UImRVNkdcn1ySBFX1isqBI2SOPPBJNH7STg4KKpXK+xEyDkyZmDswatoy0vR7+FkSD2IRd6Tg8bNThcHR21Bc8bNRNHo3Amg+qOVbAEZNNdREAIZoIbwR0SibSPnRdqjOqUBfACTIreVWev4I+icZA20A6bTQbkAX6peYDBIOCTeShkJaBDZ8JtBKQEFUBzZoPtB0PPfRQg1BXGzpqx5jud98Jh8PRWVByH4rOjSzBqP2pr4MV5vKZQCjzqRBLJZGq5DNhrwd5QGBDThD2AIKC2SH13UjHp0+uRxEoyATn4dipglKMa9NNN43JsmzSLYHoDjQZNgGXQH4NipIpORbhppW0EPaz0v07HA5HEVGqIR+K1tAIO6Fo4bDRLKEIISBSA+2CIjvSc+01sh40eSAQ3uSH4G9MENUIYY5B0OM7ITIBsaFqKQQBwoB2AnKQRZ44h/oepOdW7gsdg/MmGgxMJDiX4pth70/Xz0tulfe3w+FwFBH1NeRD0RqXd0LRDKSrb31HwOKQibDG1wGzBY6YeZU080wD6T76wVwi7URj4wIQB0wdCHyIASRCZg7Gx0aIqJClSVhvvfWiLwgRHjY7poDmhIgWCAeRIpVIRJ42xf0nHA5Hp8pDUWpnQtEKfTqhaIWwUcwcmCXWWGONKPxxWExLiVe6Vp4JRL4TjeV30Pk4VEIm0EgQaUI7Tp0ArQSmDsJa7fVT4c537mGLLbaIpAhCkkUY0J5AWjClEIWSda82kdfMzrXD4XB0VNRbn8x2ft21hobECUUjqOSnkHWsBcIXrYKiNLKcJS05yCIQ9EH4JhuCmkgKNA1ZsEQEAvPWW2/FHBHKosn5kAOIzlZbbRX9MqoxQfD3MsssE88lxJRxqZ2+qXxK//THvWJeydLG4NhJgTOZRfLu3+FwOIqJUg35UISORyj+/Oc/R0FxxBFHlPfhwDdw4MAw33zzRXU5iZMQvBY4DBLCyMp3wQUXDEcffXSjFTBbC2nYY6Ww0dR3QREdlRwn84gGUSEIcEwozAOaDoS6IjFsSKYF84SmgNwSaErQQuADgfAnMyYFxGwfWZqRVNhjwtl5550jQcG0oXPIZYEzJ98ZI74Y7777bkzrzTisOQhyRFItfC2sg2fevDocDkeRUF9DUR4dTkPx5JNPhosvvjgmZLI48sgjw+233x5uvPHGMGrUqKia33XXXcvtrGAhE6jQyZNwxRVXhKFDh4YTTzwx1HLYqM0/ARCoaeKqxsImrXBVzgrAZ6VxqA+uSTgomS85HjIBsYFY4JD5s5/9LBKUlJCk2pEsHw76oh8SWVnzjk10BWlh3BAKwk15hhaMD1JBO20e3eFwODoL6mvIKbM10GqEgpXs3nvvHf7xj3/EVauAevzSSy8NZ511VrTLk0zp8ssvj8Thsccei8fcc8890QHwqquuCj/+8Y/DtttuG0477bRwwQUXzCCgailsFGCSSKty6vhqwyazroezY6qhsWNgg4hBJBDkOIPiKInmR2SCnBg2ZXeWU2keaaGN/vr37x8jTUgHbiGzDtdSxAjEhuiW9L41TjaFrjqxcDgcRUf9jCmE2g0dSkOBSQMtQ79+/Rrsl7rb7kfY9e7dO1a5BHxSAXOhhRYqH0M9DEwArG6zgECj3W5tHTaq79pnHTGzhHa1YaN8x9yhPkUsrBBmH/4JrPwhE5Aa5gDtAfU6qMXB/vQeUkfMShEZtGHewFQF+SMMln1k0LRpxNFacBzXhjDYUuvSYqDFwSwzcuTISJbScFOHw9EQP0ypIWnkmCmUGvhQeNhoVbjuuuuicBs8ePAMbVK/48BnAXmgTcdYMqF2tWWBayHEtNk00a2FLK2DwD4J/mrCJqvpl+9oaKz5g09VCoVskRsCXwbIBP2gAcL3Ac1E2mcWoWnMnwHtAz4YhJqqAir1P7im+mSD0PAc8N2g/Dnjxm8D504IB89fvheQTLQVWRlAHQ5HCA+/8XlY/vi7wj8ffKu9h+JoqcRW9e05ktYhNC1ey4Pqk7/97W/DvffeGwVHW2HQoEHhqKOOKn9HoLYEqahGFZ9nQsjqS8dXuhafrPgVEWHBd/ZTHIz5RQOArwr3SxtCXr4JFPWi1DjHkfJbZokU1PWQcM/TkNh7xJeCMNQHHnggEj00FmlIKMfp+RNtwv71118/RqswFtrIbYG2gugPzDTASYXDMSOOuuG5+Hn6f8aEX238o/YejqMAPhSlVuizxQkFq03CBtdcc83yPgQdwuf8888Pd999dxR4RD9YLQW2frIuAj5x/LNQFIiOScEKXKvwlkRjJoq8cyohL5LCno92g3TXCFhtOhcSwfell146RoFYkwI5J7bbbrtYHRRtAkKb+eeZ0AYgFiNGjIjfaSPzJsJ+nXXWKacKb8yfApMUSbMwT1EXBBMGzxSyYe9F/UEiGDPkRZoW2uRvAql48cUXo/nD4XA4ioj6GspDUarvAISCMtZabQr7779/9JM49thjo9YAWz4CjXBR8Oqrr0YhSbIlwOcf//jHKAQJGQVoPHAKJOyxrWE1D5VW8Fmo1JbVb1ZiKREIHcvfaCIw/0jrwJzuuOOOcY4gE7aUOFoAsl3aMUECpNGA7GGWoMAX+SnoA5Kh8uhZJhuO2WGHHcJtt90W/SnIbQG5ybo/SAbEBgdNrkkeDZ45pi8IhaJOIBUiPQ6Hw1E0lKxTfjuXG22N67c4oUBw4ARoQeQDanHtP+CAA6J5AkGDYDr88MMjiWCVDBBqEId99903nHHGGVFwHn/88dHRszW0EJXQVO2EPSdFns9CYz4WytlgyQakglW+9uHUyhyz6icCI43CEHCUREsgMwU1QYikwcESfwdySOAsidDneUBOVC011argN4E/BVE6yk3BWDlex3GdLbfcMppU0LjcdNNN8RpK2sXzRLvBuDGfqACaw+FwFDsPRWhXtMb1W5xQVIOzzz47ChE0FKywieC48MILGwi9O+64IxxyyCGRaEBIBgwYEE499dQ2H2sl7UI1ZCM1aWT5WqQRILY/Vu/cPwQhNZHY86jPgWBvDPRHGK4NbaWaKMSCDZLCnKNBwpxBOC9OndbHwt4bhAAyI9MLGgj6oQ3tEqHBcqjFRLPLLruEW265JZJE/D44X4SF564cHg6Hw1E0lGrJh6IjOGVm4f7772/wndUoOSXY8sDK+M477wy1hMaSP8nXIU/jYH0T8vwU0n2s8NEg4FNCLY28KI1K17bXJD8ICcVsH/QPKcBswt+LLrpo1A5BLvB5+de//hUjOVTszAICsM0228R+qBuC7wdRKBAWEpqJTGgMOHNimsFUAqmAhNhwVofD4Sgq6mtUQ1HqyBqKjghW0pgKUsGHAMU5kZW5dZ7MIwl5YaN5RAFHRxJJER2BD0JWQq1qMmhW8vEg5JQNnwnMEdznhhtuGDUHaI+GDx8e7rrrrqhNwnwh3wr1y3ftJ68EfhDSgGQlz8Kcgqnk1ltvjc62aGA4FxPYUkstlXsvDofD0ZFRsu/q9tZQGBrRUkNxQlEFEKzkT1AEA6ty1efgkxU2oZHSEOSRg6aEjQpoFHCYROA25txZ6e8s80oKyBEhqPhGcD/4sZDHAhMJhAmywHeZNOyYmSOqlzI39913XyQVqTbGXp98GaRb//e//x1NH8pLgXbE4XA4ioj6GtJQWLVES5lfnFA0AsgCwo8QTIQlf+NcSngsNUhwLCSUVWSC1T25OJobNsrGtdEKIKzxPwBoEORPYcHx+EKw2rd+CPyNbwIOkWTbtAW7RIhSYIagzDn3R79EcJD19M0334wmkH322ad8vgVaCcwi7IdQSNuQFenCdyJJdt9995gIDU2MZ8p0OBxFRqmGfCgK45TZkcwcqOeVRhoBiMBEcEIwEJo4LxLeysoaDUZaa2Rmw0YlnKlrwjhUapxcEYTQYv6AIOgc2jmO7/io8DefhOmiaYD4QE7QHqD1AIRpQjTStNf4PaA9gEBwfUgJeSdIl47mIh2zvVfGjaYComIdP1PNiM7HV4aaL2gqsmqgOBwOR1FQX0MaitZIA+4u9TnAxIADIYKavzF5kHVSQg+zAA6ThLgigCEcqO5xNJTwRGDPbLVR9nGNlIxwzQMPPDAcdNBBkeDwHXB9juV6+FygqSDBFSYKQjEhO6TLZqxoPrgOIbsrrLBCJB6QBvlGQJAgHjhVkq8CkwsahD59+sTcExpfVtQH+yAzduxZ923PwT/k4IMPjvPrzpmVQc4QCrRBYJkrImYsmH+q8qIp47cKCaSMvQUaLkgcz5/fN2HcIpkCqdAhtCKlhG+nwLmX/DIcA+FMnairGYvD0ZlQauC3UDsaipYaihOKHKCBQAgjqCEWm222WblSpyDNAC9KXvDWhMCqn4RPKj+e5UBpTQ955o8s8AKXEMYZMu1PZc8xlVjfC/5GwyEtCn8jCNC0QAAgHPTN+WSshEgg5H/5y1/GNoWJ5oWuZo09z3HUHg+ZQeAofNSRD8gixC4vQgrBf+6554aLLroohvJCLHGs1e8QQCao+4Kmi/BsSAoEVYAYQ5TRHmHaO/PMM8PJJ58cLrnkkvIxhBP//Oc/j2QEh15Ci9nIdtqUsTgcnQn1teOT2SrmFycUFSCfiU022aRB2W9MDWgiiFCAOEA+IBz4MICsPBNpCKc9ziIrlBQhQtl3e4yiKyA8Wchjv/KvUEIptBHaj+aCe+HFj3DHF4R7lPYjb7x5+2x9j6z7qjRORzZwkD399NNjPo+suTznnHNiEjiiaNAwXXnlldEXRpqMMWPGxKidf/7znzF7KvVezjvvvOjHwnHg6quvjqTzsssui+HCe+65Z/jNb34TzjrrrPK1/v73v8dw4aOPPjqstNJK4bTTTovp9kmvX+1YHI7Ohvoa8qFojYATJxQ5QACizlURLglEVm8kkSIagrwLqlGBNgPykbXSbiwTZtaq3u6DTJCDIguQGF7olfoXID+sJlVLhZUpTp5cC00EggNtCytTNC8QCuWLqARLmNJx5OXbSDU1TiyaD36LPCueoYD/D8SBJGWAT57t2muvXT6G4yGUSp3OMZBo+ztGs0C6dMx4OsZeR8foOtWMJQv4+fB/zG4OR1FQakAo2nUoTijaEghBIitUlluaAsgEtTVYaeHQiFlAIaNygJSPQopqwkabKmDJRol/B1oTqZLzzoVQEL2hCqYcB1HBfo5vBUQCM8hPf/rTSI7YhzOn0njn3VN6P3namKwcGrbN0TyI+CmZmMB3tfGp+jiCcoDYY7L6sNfIO8a2NzaWLAwePDgSD20tUTHY4ajJ8uWl9vahaPm6Ih7lkQN8FOT4JiFIOCVkgkRW7EeAYzJAW0G7clWASgKymrDRSqTACmnMEdjU0SawgsRJk5Ul4aGM1/pQqKy5JS6QJPwwGLuAsx51PHDohBzl1dfIG2NW9EdjhKGaYxzFx6BBg2KdHwENhZMKR1FQX0OK2FIrjMsJRQ4wXWDqAEpZjcMZ1TnlbyB/CgCpAAhyUI2GoVLYaJ5wxZkOAU8RNp2LChuHOGzTEAtCStGgoI1Aw4JfhCUQchxFfc34SbvN/eKcCQmBeEAquEf5Twhp0q4s4pAXUpp1z2hAlAhL9+eYOZAPBeD3QmSFwHdSqusY+c0I/GbRQul8PjnHQt8bO8a2NzaWLODb09YFAB2OdvGhqK8hDYU7ZbYd0Argc4Avg7JCKsIDoQvZQIhj/uBlnZfVsilho3wizBHstk1ahhQ4UpIk6te//nUMJ1U2S7QpCGm2l19+OfpMQDrYWP3hSMc9UGFUfhryGbFItSmVwkbt97z7FrhHzEQIGdURccwcMNEhyMmNIvCM8Y2g4Bvgk98y0RsCGVAhmSpxzzH416jKLSAihBBjkVMVkLPgGF2nmrE4HJ0NpRr1oXANRRsC0wbOjAhnWxwL4oCJgdUdpIIfC4Kc1T7kAyKCvZiXq6IrrBDOSodtV/eQCZzneFGnyBLmqtxJZVYAaUAw5LFPNBSEh2Iq4V769u0bSRJaDbJcZpGFvH1ZoaT6njVeQE4ChJsFGhRHPvidoXkScH6EDGJqQ9N0xBFHxCgQfGD43Z1wwgmRpKHBAjjwEp1BLhPCOSENhx12WHTIFZnba6+9wimnnBJDQo899tiomSOqgyrBwm9/+9uYwOxvf/tbzKJKlAiEWqGlPOvGxuJwdDaUSiHME74Os9VNCvWl5dp5LNaHomXghKJKsIKzpg6rReBlDqlAba8MlgBtwjPPPBNf9HaVboVwVn4Gu09EhNUdwhZHNR1nYftUgipIQaViW2grGJ8ACWJjFYpPBddOCURTw0bT+7LHc30KhFlPfgiOIx/KDSLI3wASOXTo0HDMMcfE3wl5JSBrhIUSJirzncJCIREQSJ7xbrvtFvNFCPzGyJA6cODA6EdDDhISVNlcFRSPu+aaa2JY6O9///tIGjC5kZZeqGYsDkdnQn0phGdnOTj+PeSHu9t1LA0kj9fyaD+kjpQiFaz4eYFaP4pK4ZK2v7xVvfDFF19EYS9C0ZSxpj4N6p+oDrbmIit6JctnwrZlaWrSvx0zgnwnleaIOT311FPjlgd+q5CBSiBvBGHRlYCJja05Y3E4OhPqzf/d+Sa+GUJYvybG4iaPNgYvR7QUxMmnAhMzA6QCcwErMaUxrhROmYU8wV/t+LL6sG12f57vRl7OiDxn0cYcMFOTiMgEjpisaNFONKYFcTgcjiKgvlYTW3nYaOsC8sAGUUBFS2jmDE419fXRCROSIR8GfCjwqyBfRVofYWbCRlUtVFoP20cl2HBX238lh9BqQ1ebGzaKYx6mDkxDZGK0jqeYjV544YWK13U4HI6OjlKpliJOWqZPJxQ5wL5PiCgmAQQ6eSkgCxYIeZw1MUXgsAmxUJXPNNxyZsNGSQRE+XCFpabnCll+GZXCPSuZGyqRnZYIG8XJFT8PObCi2SEUFvLE3w6Hw1FE1BvJXUtRHu6U2crA+50wSrzSccRE2BH9kApdnNMgFKjwieiQpiINOVVxrRSVwkaBNCSAHBE2lM8iyySRpZ2w/gtZx2eRCNuW+j40FjaaZSbhO/dFxkbmljmiGBX3Sa0Jh8PhKCJK/8tSXAtomHrb81C0KpjgJ554oly7IC9sEqIBoSCiQ99hoeSF4G/MHqj4xUyzVu2pk2KeZgMziiIiUuJhz0vzP9jxZ91LJf8J23clApE39ixNiCBzDqQNMgERU4SKw+FwFA2l+qk144Auv4kuob62a3mg/t9nn32iLwEqbUpkE+5mJ5IwNDLo0U4BIXISWBCGSZll7OuowYmJz/NJaA2wcoYEvPnmm9GUkSfwIRKsqtFCSCBiCkFI8p3zrJqrMafLPIdKoL7QhKgehyUNlfpJ+8vSVmRdL+vcavep/ywTiMB8oeXx0uUOh6P4mFpTJo/Dug4Lz/c8MCw+5d3aJBSs6KnQiUC+6667YnZGkt8owx4444wzYtw7iXVYvbOap1KhilsByATZHUnqdMcdd8QETTYOvrWhfBP4SKCpgCQ0hVFimsiLikiRtaq3QhnTAD4cAEJBMiPrpNmYr0ZeWGaeCSZvnJX6byw81n4nxwW+KWhb8kw4DofDUTjUGw1Fi3kuzORQSqXwf91vDHPUfRcOmjS0NgnFX/7yl1jM5/LLLw/rrrtuzJCHfVzFpxAs55xzTkyIs9NOO8V49yuvvDLWniCMELDiJwHOP//5z5gOmIQ45513XszGx3FtAdTx5HxA6JIp8LHHHssUtqysyT4IYUJbIeKB4MfpkH7sSr2xsFF9WjJC36oQidnDEq9KfQiVnCuzfCjyyEAWyWiMNEEY7r777hi9ob4hR2z4hLA98sgjZS2Qw+FwdA6TR2hX2MvXrA/FbbfdFtNFk/AGIUiEwj/+8Y9yO6trVPaYOQQEN8Th0Ucfjd/5xMxBPwLHI5zRaGQBgcSK127NAap4CnChqYAkYMZRHQ2rPWBMrLYZP4IfAYqQxCSBEyfHorV5/vnny31n5YJI/R3ygL9GNQXIUrNDuj/r/Kbmg6jkb6FnQngoqaHTsFe0WJi8SCNNmCiZGSEd6XEOh8NRFJRqyYeiFa7f4oTirbfeCkOGDImpeFmZHnLIIeE3v/lNuOKKK2I7ZELhkBZ8VxufWpFbAU+GPx2TYvDgwZGYaGtuyWM5WJK6Gj8PfDruv//+qB1INQiMjeMgFWhiICIIRggI4BMikHWNLA1A1qofTUjqsFjJd8KGkdp9VjOR5qrIiwBJSUh6/7ZNRIL5glxSJ2SXXXaJYaF2TES9kC6atOSUhL/zzjvjbwTy4XA4HIVEfQ1pKDpC2CiqfjQLf/rTn+J3NBSYDPCXUNGq1sCgQYPKdQ0AGormkAqEH0QArQMraUwNOGgSlUC1RCsgAfshFVyT46jpAfnARCMHykrhmPa7/RQwq5BEi3FUGnMthI1CKiFfkKqf/vSnYdlll43zk4K5paYE5APzFmQii3g5HA5HIVAyGaRK7RtC2hpOoS1OKBC+lKNOheG///3v+DcljcEnn3wSjxX4TvlqHYPwtEA4IXh0fgoiKmz+h5YgRkRuQBwwYxBtwsqbFTdYf/31oybCClqEJloNyjwvv/zy0fQBoYBQUeMD0wdCNE8zkZcUCtA3G/vpx5IUISUOlUI8s4hBXt6IxvpMzTXcPyRC45YfSZZJBe0PETFUv7z55ptjhVSHw+EouoYiWHLRDmggY2o1bBTbuISu8Nprr5WLUOGkCSkYMWJEA20CvhGs/AGfCPOnn366fMzIkSOjkMes0BZA4EFQJDTJk8DYiUihIibjhSRkRWgov4KiV/DDwFSj0Nimho2mWoQ0yiNv/O0VNqqqrJhoKpEkXYM2yOWhhx4aQ0gdDoej6D4UXWpIQ9FSyooWJxRHHnlkjIjA5IHDHVUNL7nkklgKGSA8jjjiiHD66adHGzsOefvtt19cpe68885ljcY222wTV62EbD788MNRNb7nnnvG49oKEAIEI+QAcoGWAjKEPwOkCfV8VsgkaCyioylhowL+GfiHpP4QjaE9w0at5qOxMalUu8PhcBQSJaOVaKkCGjMJG7Za10KUosXf4Ouss04YNmxYuPbaa8Oqq64aTjvttBgmSl4J4ZhjjgmHH354zCvB8SSsIkxUKabB1VdfHVZcccXQt2/fsN1228XQUYhJWwENgHJJoBlR0irIBA6F/E19DQpcgTzfBQjA5ptvPoNGoClho9q/2GKLRRMMvhnk+MjK4VBLYaOp5iNvDlItjMPhcBQS9Uaz3M4aig7hlAl22GGHuOUB4XHqqafGLQ9EdKDdqAUwXkgFAlwmDUJC8fvAdAPpgQyhzbCCEZ8LyBJ+FAhRnDWJXsF0UimSIsvsoe8QGfwn0P7wyTXzxpxGdaTXyfNryBpDU8NGUw1EY4ShmmMcDoejQ6O+dpwyG9byaJk+vXBCDkQOIBLKRSFtBc6W7MMpEwdJNDIkscJ/REKR4ykYhlnkiy++iPvIs8AmpE6RedEX9licQeWUCVmxWh0d15g/RJ5JJc9ps1I/WcQhS9ORjinLmbMpZhaHw+HoaCgZElHX7j4ULf++dUKRA7QQcirEhwKCwN+qOcE+TA/4WVDmnHBOnC4hFghGiIOtAaIaH41pCbLMC1YYExXBtSEVRM7gZ9LcsFE+0aKIKBH6mvozNCVsNP1eSfPgmgmHw9FZUNeAULS3D0X2382BE4ocoAGAEEjYqbYHGgracNC8/vrrYwZNCekf/ehH0deDvxHIHCOhyneOJfQVsmFLoVcTNqrjaCMJGJExjK+lwkaJWsF8g6/IL37xi+j/YklFU8JGs/w38swreSYXh8ORDSfhxYjyqCughsLd6nMg4iAywKfMHqQFx9RANlA0DxyL1gAtBdke//Wvf0VtBaYOnDZJeIVzpkJoP//88yaHjWrjOmuttVbUlGBOIYS1JcJG+/fvHzbbbLNoRmH8pAqf2bBRSyKyQlMt3MzhcDQN/l+m46KuQWKr9tVQtEZtMtdQ5ODjjz+Ogh9tAMIQciGHTIQ6JAJ/BqqR4qwJwWCfzBoqJoaJgrwRqqxJYqs00qHSqj5rNYK2ZJVVVilXQiWJViXkmSmshgFitOOOO8YIFpJLUYiN+1lzzTUbjCmv//SYLJ+JSmNq7BoOh2P6yrJL8P8rHT3Ko66GNBQtRVJdQ5EDfBQoUkaCLWkggD5JaoUgJHGVQkr5xKcCcsHGd/wSEPpoElj9c87o0aMzi5c1FjYKJPwxr0BurCYl7cOeYz9tu92H1gMtBflAyFqKjwa5Qt59992ydqYSMcjq28NGHY6WxVRXUXRclOprx4eiwc+oZX5TrqGoAMJCb7zxxmjioNopZAEhjvDT34SAynlTQlFFvBD2EvoqmMV5kBLrsNmUsFF7PNchfJTy3/hutFTYKNErhP2inSDXBjlBSDYGSSKShVwYSgOeBQ8bdThaD84nOjDqa9OHwp0y2wAIOSphsmG2gDyQcwLtBMQAokABMTQPrOBVrlzn2jLjaBGICoFUQARw0LQhpDMzNip1ov146aWXZqje2hLgXnDOpC4H/iGQC67Xp0+fmDEUp9O8PBgzC4XYOhyOtnOmc7QRSrVDKFrjV+SEIgcIfsweFkRC3HTTTTOYI5SxMk/1b/Hyyy/H4+inuStyERVME1nVPFsS1sESIiUH0ZbWKmRl/3Q4HNMxtTXKRDraBqVaKg5mv7RMn04ocpDlL2CdLpuLluqnpftyOBy1DecTxXh4XdpbQ+Fhow6Hw9G54aHWHRilYie2ckLhcDgcHQhu8ujAKNWODwUa95aGEwqHw+GocVilhPOJjou6+trxobARJ56HwuFwOAqMD8d9F17/ZMIMJMJNHh0XdcHmoWhnHwpLbloITigcjgLh5JNPniFd+4orrlhuJ3R54MCBYb755ov5RHbbbbeYb8WCMOntt98+hkEvuOCC4eijj57B8ff++++PeUpI3kZY8dChQ2cYywUXXBDTzpO/ZL311oshx47q8ZM/jwxbnv1A+PybSQ1CRT2xVQdG/XQh3tWQi/ZAXcn+n26Z35QTCoejYCAtO6njtT300EPltiOPPDLcfvvtMWHbqFGjYpXZXXfdtdxOGDJkgvwqJEyjNg1k4cQTTywfQ04Wjtl8883Dc889F4444ojwq1/9Ktx9993lYyicd9RRR4WTTjopPPPMMzF3CVllP/300zaciWLgnc+/bUAo3OTRgVE/tSY1FO6U6XA4MkHiNBKPaaM+C6CY3KWXXhrOOuussMUWW8Qic5dffnkkDtSeAffcc0/MlXLVVVfF9OvbbrttOO2006K2AZIBLrroopjk7W9/+1vMoHrYYYeFn/70p+Hss88uj4FrHHjggWH//fcPK6+8cjwHjcdll13WTrPSsVCfsAb7PW1zdCCUaifKw5KblmIUTigcjoKBSreLLrporPey9957RxMGePrpp2PiMNLIC5hDyLhK3RrA52qrrdYg8yqaBWrPkJFVx9g+dIz6gHhwLXsMKej5rmPyQEp6rmW3zojJiQe+5RCeKbPjokuDWh7traGYPhbXUDgcjhmArwImiuHDh4chQ4ZE88TGG28cJkyYEMaOHRsLwFGbxgLyQBvgM03jru+NHYPwpxgeVXoxnWQdoz7yMHjw4DDXXHOVtyWWWCJ0RkyZ2vAVP1/pi3Bmt4vCqnVvucmjI6NUQxoK40PRxYuDORyOFJgohNVXXz0SjCWXXDLccMMNoVevXqHWMWjQoOh7IUBSOiOpSAnFH+uGhI26jQ67d3sgvFnav93G5Wg5QtElTK2ZENauYVrF6uaWUmhxDQUrkxNOOCHaWHmBLbPMMtEGm1afxMlrkUUWicegCkVNm9bSQF1LASpWVAcccEAswuVwOKoH/3eWX375WJUWfwrMEePGjWtwDFEetAE+06gPfW/sGP6v8v8Znw3qvGQdoz7yQNQI/dits5s8eHMuF94vf3cfig6MUu2UL7fkhoiTlvhZtTih+Mtf/hJVreeff34YM2ZM/H7GGWeE8847r3wM388999zoqEXBLSp3YoMlpE2ATGCzvffee8Mdd9wRHnjggXDQQQe19HAdjkIDEv7mm29G8o4TJtVhR4wYUW5/9dVXo4/FBhtsEL/z+cILLzSIxuD/IIId50odY/vQMeoDswrXsseQlY/vOsZRvYZi2t8e5VEE1FlC0c5hozbKo2tdfcvkNym1MLbffvvSL3/5ywb7dt1119Lee+8d/66vry8tvPDCpTPPPLPcPm7cuFLPnj1L1157bfz+8ssvx/9BTz75ZPmYu+66q1RXV1f68MMPqxrH+PHj9b/QN99qduN32pL43e9+V7r//vtLb7/9dunhhx8u9evXrzT//POXPv3009h+8MEHl3r37l0aOXJk6amnniptsMEGcROmTJlSWnXVVUtbbbVV6bnnnisNHz68tMACC5QGDRpUPuatt94qzTrrrKWjjz66NGbMmNIFF1xQ6tq1azxWuO666+L/6aFDh8b/zwcddFBp7rnnLo0dO7ZJ96P/xy09T7WO9774trTksXfE7YHXPi2NPbF3qXTSnHF7+aPONRdFwrCLTyo/x7sG79GuY7l1xIPlsTxxwtqlSZOnNvv/YItrKDbccMO4Ennttdfi9+effz7Gwcu2i5MYjlnWAxznK2y91tMcVe3aa69dPobj8RRHo5EF9w53OEL44IMPws9//vOwwgorhJ/97GcxgRUhoQsssEBsJ7Rzhx12iAmtNtlkk2iCuPnmm8vnY6pAI8gn2oR99tkn7LfffuHUU08tH4M58z//+U/USpBfgvDRf/7zn1HLKOyxxx7hr3/9azRtEn5KvgocRVNHTUc2ptQ31FCUwnTbttfy6Lios2aGdo7yCPXTnTK7hfrAr6zmnDKPO+64KMwJR+OlhE/FH//4x2jCAPLyruQBzicZ+hoMtFu3MO+88+Z6ieMdfsopp7T07TgcHQrXXXddxXayVpJTgi0POHHeeeedFfvZbLPNwrPPPlvxGPJTsDmajilTp6vDJ01pqBr3qNEOjFLtmDwaOohi8mh+ly2uocCb/Oqrrw7XXHNNzJBHpj1WKny2tnc4iXu0vf/+dCcmh8Ph6EiYbHwofjDkAngeioL4UJSm1pRTZkv8rFpcQ0Hef7QUe+65Z/xOkpx33303ahAGDBhQ9vLG4xtHMYHvqEYBx6QpeqklQORHnpc43uFsDofD0dExxUR5/JBoKLyWR8dFXaIVaNexJHVFWsLk0eIaiokTJ0ZfBwtMH6q9jv0VUmA9wDGR4BthPc0JbSPbnjBy5MjYB74WDofD0Vk0FJOmNFzJerXRomgo6mvGh6JLrYaN9u/fP/pM4LT1zjvvhGHDhsW8/rvssktsJ3EGxYROP/30cNttt8UQNZy+SBW88847x2OoD7DNNtvEWgBUKHz44YejLRatB8c5HA5HZ/GhSDUUremTeetzH4bBd41pV9Ly5mffhF0ufDiMfKVhHpNCoGQ0FO1NKMz1u/0vsVXNmTzIN0Fiq0MPPTSaLSAAv/71rxtUKzzmmGPCt99+G/NKoInYaKONogc4DmMCfhiQiL59+0aNB17p5K5wOByOzhTlMYPJoxUZxW+vey5+brjM/GHT5adFBrU1jrz+uTD6g/Hhl0OfCu/8eftQJHQxQry9M2WmTpkt8bNqcUIxxxxzhHPOOSdueUBLQRiaDUVLQUQHjp0Oh8PR2TC5QpRHWzhlfj5hUmgvfPHNtKq2ha/lEWrLh6IFXCi8OJjD4XDUcqbMVEPRFtYI99JoAw1FqXYIRZe6UosQVScUDofDUctRHlPbxuRhbegemtpKKNVOlEfJjCX6ULRAn04oHA6Ho5ajPCY3tLW3lrBvQFycT7SBhmJq7WTtjD4UrqFwOByOTqWhaC3lgTWttEROAseMqAu1o6HoEJkyHQ6Hw9GSeSjaxuRhr5NwmDZF3fSyJYVDXQ3loZghsZVrKBwOh6PYTpkzRHmYhEStpaFIk2k5WgaWRNSShmJapszmwwmFw+FwdKDU22Hq5Fa5JsTluG7XhBt6nBJ+mPR9q1yjs6MuEeLtOhbzG2spH4oWz0PhcDgcjhYsDpYQirpWIhRc5+Bud8S/P/tkJDmLQ3ug0CaPUKqZPBStURzMNRQOh8PRkVJvT/1hBp+KUa99FsZPbB7RsGaOqVNaN7HVuIk/dMqaJHU1FDZaV0prebgPhcPhcBQ69TaCvqtN05xoKK545J0w4LInwt6XPtasa/4webqAmTKl9YT9E29/GX586r1h0M0vNHps0UhHF+ND0bXdy5dPH0v3Omp5NL9LJxQOh8NRw6m3CRvtEaYL+7r6hhqKm5/9IH6++OHXM309BPdX48c1uGZr4Zz/vhY/r3vy/cz2ulCX65Da0VFXQ2GjNsoDlIxPxczCCYXD4XDUeOptMhkKpSmTcwXwzOLMu18Nx133RPn71Km1EeXRVoRiwveTQ31rlnGtySiPJL9JC0QPOaFwOByOGsNks1pEqHY3GopQP7nFnRgvvP/N0KvO+E1Mbr0oj8ZU69aW3xbhq+9/OTGsdvI94dCrn2njaqP1rX69ymNpSCBKicZipvpsdg8Oh8PhaD0NxeSpoUedqVKZ+FC0VFBErzDdlFI39bvQXmiQD2NydUL36+8nhy3+dn/4439ebvL1rnnivfg5/KWxoTl494tvw/kjX49j6QhOmTNoKKa6hsLhcDgKHeVRn5g4QhLlUddCcZazhulaia5TJobWQmNpva2Zo1qTx41PfRDe+uzb8I8H3276eJpo6Th3xOuh79/uD1980zASZtcLHwl/vee18Ne7X80915KIdq82mjiFuobC4XA4CojJxp6fhomGxNbdpa55URE6p1fd9Ot0ndI2ia2yxmvNHNWaPGZI/jWTY6jGj+Kse18Lb372bbjkwbca7P/i22nz9+ibX+Sea3NPdK2hPBTTvruGwuFwODqVhqKugobi+ypNBBYTf5gmWHqF6Svubq1o8rAcQtee3lZKUoDXNytCphpYn40J31cvVD+f8EMmKZmzV/fcc7rUkMkjrXbqUR4Oh8NRg3jkzc/DEdc9G77836q1OT4UqYkjdcq0wuybSU1fZWqMDQhFfetpKKwA//aHKTPk37BKgmp9KKwZZfx3TUvw9c2kqVWf+70pJT/RjP3zb6Y/o1l7dO0QUR4zho023+ThqbcdDoejhbHXPx6Pnz26dQln/LRPs0weNmQ0yynzOyN0v500JSwwR88mXUuq+llNlEePViQU3xoBHv+eI+RqJL6v0uRhNQvjJk4O889e/RyM/+6HqgnF58Zv4quJ089754tvM8eSoktNmTyS62eEjZKEbMLX1ec3cULhcDgcrQRs7dXgxQ/HR3+BC+97Mxy2xbINTB7d6xq+6OsSDYVdKc+chmKakJzFRHmEyROj8GyKYK4WVisBAarkC1GthsISgaZqKL76tvpzrSbisbe+DA++/lkYO/778Pqn35T3V9JK1VLYaFo+vZSRe+T9G44O338xLQqmVUweDzzwQOjfv39YdNFFo+3ulltuaTioUimceOKJYZFFFgm9evUK/fr1C6+//nqDY7788suw9957hznnnDPMPffc4YADDgjffDP9gYDRo0eHjTfeOMwyyyxhiSWWCGeccUZTh+pwOBztimqcJJ9/f1zY4byHwm5DHg0jXvk07HHxYw2Kg3VPNRQJobAr/pkjFJNniPLYquvT4fwLzwmtAUsiUkKROmFW65RpicDXTSQUP3zzZbilx/Hh0K63zkAoXvpofHjj02/CB19NDO99MTEc9+/RDdr3vfSJcPRNo8MlD0x30Hzvy4nhqXe+bDRTZtcaquUBShlOmT/+/onQv+s0bVurEIpvv/029OnTJ1xwwQWZ7Qj+c889N1x00UXh8ccfD7PNNlvYeuutw/ffT/+xQiZeeumlcO+994Y77rgjkpSDDjqo3P7111+HrbbaKiy55JLh6aefDmeeeWY4+eSTwyWXXNLU4TocDkeboqmRFncn+Q9Ie23LlzdIapXhlPldhRV/UzQUNg8FOHnin8L3iY9DS8CSntQpM9VIWBPIPS+NDc++91Vmn183Q0Ox5be3hx93eSsc0/36cg4JfGD+fNcrYftzHwr9zhoVNvrLfWGTM+8Lr4ydUFWfP73o0Rhe+vhbX+SHjTZCKEi4ZX02WhozhK0mTplEvMxfnx+x0iImj2233TZuef+RzjnnnHD88ceHnXbaKe678sorw0ILLRQ1GXvuuWcYM2ZMGD58eHjyySfD2muvHY8577zzwnbbbRf++te/Rs3H1VdfHX744Ydw2WWXhR49eoRVVlklPPfcc+Gss85qQDwcDoej1vB1EyIFqnHKTAmFDe/jpT9xcvM0FB+Nm7bYa5Ap83/49JOPQu8leoeZAVVQCWm1USiYcmwkyj0vjw23j/4onNR/lTBXr+4z1BARoXh17IRw0L+ejn+/9aftQhcbK9tMk8dsk78sL63vev6DWGMErVElzNGzW5gww1yXQs8wOUwKPcrhpWDYoRuGNXrPE/+uM2QTDcUvLn8i9F990bDbWos36Om1TyaEnc6+J6y77CLhil9tGNokbDRJbEVtl/nqvg1ft1eUx9tvvx3Gjh0bzRzCXHPNFdZbb73w6KOPxu98YuYQmQAc36VLl6jR0DGbbLJJJBMCWo5XX301fPVVNkOdNGlS1GzYzeFwONoaNuFRNQI+S6tgQx+7V3DKxGnRKkSs+aMasAgc8conM0R5CF99/Eb8/HDcd+HW5z6sWvvyzHtfheWPvytcNKphroZvE43EsCfeCM8++1Q4Y/gr2RqK/5GlV8ZOf59bf4UsEoFTZiXc+NT7YdMz7wujPxgXdr7g4TBL/fQkXm+8+XqjZALs0GeRcPz2KzXY96uud4YxPfcPG3R5qcH+Pwx7Mbzx6YSobUg1FPe/+ln43Y3Pz9D/XQ8+Gp7ueUjY8d0/tlqNkRl8KJIoj68+meY7MTH0bB9CAZkAaCQs+K42PhdccMEG7d26dQvzzjtvg2Oy+rDXSDF48OBIXrThd+FwOBxtDUVNxL+NE18exn79fUUtR6qh6GJ8KFIC8c2kpq3OqVD6/pffxWiUWTMIxZcfvhUuuO+NsMkZ94XfXvdcuPHpaZVNG8NJt74UNRR/+R9RmD5e7qUUNu/ybJg3fB1O6XZFuK/n78J3r92X40NRP4NzK2TF4uTbXgrvfjGdFLz88fiyU+tH476Lq30cJQ+88qlww1PvR58Hjt/x/IfDc++PC727fFo+d9G6z6u6v4W/fjFsNHnaIlk4vvvVoUtdKZzZ/eIG+1/++OvQ76wHwkZ/GRl+mDz9+fSsmxKe7HlI+L9u18dxWqzzyU0x6ma3rg+FD7+qzrG3+T4UU8PUKVPCY9ecHt5++cnwzafvxv1f1c3b+fJQDBo0KIwfP768vf9+dmlch8PRtsDfaqmllooO1mgrn3hielXLomsovpz4QxSsAMGGPX7Y/8qNCx+Pn5FQjPl4+oq8m6njAepMeN+0CI9pAnrO8G2DnAqV8PS7X8aV+L1jpmkn+q20YINMmcJDTz0TK5HqHu556ZOoqbjv1elC2Nr8iVaZPq5pGPe/8EpW2qSl3qXLQ+HyHmeGIT3OCXt0uz+27fPtlWH8xMkxymOu8E04odu/wvJ174fvfpgafUzwRxAG3fxCdJKErCx13H/C0EfeaTCOu1/6JPQ9a1S49+VPwo7nPxS2OeeBsN3fH4zfj7mpoVMlWLpu+iJ10bp8nwGsLCsuPEdYbt7u4bfvHBJWfODQcNaGk8OFe68Z/rbbyuXjMHuArl3qwhLz9moQIZI6Yi5QNz4c1u3W8OTbnzeI7Jk0cfrzf++NhhqP1vKhQEPx5A1/Duu/dmZY5Pptw/dfTvudft19/vYJG1144YXj5yeffBKjPAS+//jHPy4f8+mnDX+MU6ZMiZEfOp9PzrHQdx2TomfPnnFzOBy1g+uvvz4cddRR0UkbMoGPlcyXqaayI+LI658LT737Zbjh1xuERebqVRYcK9e9E7bu+lT4x5TtogZi/tl7hN/f/EKMGDjy+ufDzj9eLPoWoMr/4oM3wsgeg8ND9auFP03ZK3yfqJh7JBqKz8ZNiMKZiqQffvVd2LfrveG07kPDI1NXDreNv+h/Y5gU9rzksbDQnD3DrzdZJqy0yJzl/BREKxBJ0qWuLsw72zSz8qbLLxB6vTKjhmLxZMX+6Jufh/+O+SQKy+G/3TgsNNcs4dn3xoUl5ukVfnbxY+GLbyeFqw5Yr+yXAfBJ2GaVhcODb3webn72w/CfHnfG/et1ma696BW+D31OvScst+Ds4Zhu14e9u40Ie3YdGda87+Lok9AtTAm/63ZjWKvLa+G2qRuGjf4SKqa3/vqLseHAK1nZ1+VqgThuzjAxLFg3rsH97r7W4mHxeWYNvefrFQna2kvOE+abrUcMoY2+G6/dE8I1047fteeTIay2cwhjXyj3MX+PKeHB32wappTqwogxn4TT/zOm0ciOITfcEY64oXdYddG5oi/JkRPeKC/3v3zjyRDWW6/B8ZjSZunWJXTrOvM6ARtxElE/Jcz59l3xz1nqJofSh9Oqr34/S/X/T+tKM5P8XSfX1YVhw4aFnXfeOX6nK5wq/+///i/87ne/i/vwZeDFMXTo0LJT5sorrxyeeuqpsNZaa8Vj7rnnnrDNNtuEDz74IJ4/ZMiQ8Ic//CGSiO7dp6Ux/f3vfx9uvvnm8MorDVVoeeC6mD4cjloG2jTCp4sKSMQ666wTzj///Pi9vr4+miMPP/zwcNxxx1X9/3jE0NPDbLPOMtPjQJVOKObsPVtuDTVh0uQwYsy0xdHyC80RhTbJjp5864twSLghrj5HTV09DK9fJ8zSvesMHvurLzZXGP3h+LBDl8fCT7pOX4XeNnWD8Hj9SmGVurfji32Juk/DOl2mOfiByaWuYfCUvaINntXw0d1vKLfdNHWT8GFYIHzfZfYwy9Svw3elnjExVtfuPcLiC8wbvvv26/Du+KlhuboPonAbU1oy5p84dN25wuzPZkfR3Tl13XjMm6VFw5elOcPsdRPDXOHbMM0joEtYoe798F5pwbBI3ZdhjrqJ4an6FcLs4buwbdcnwnP1y4RPS/OEueq+DW+WFgldQikSoNnrZhTwV07ZMixU91UkYsKY+t6xj/5dH21wzlVT+kaisUDduPBNaZZIGz4Nc8dIlR16PhsWnfpReK7+R3Eee3YphcmlLmGZWb8LvXrNGr7/YXJYr9f7oce4t8LUrrOEnj9MN6FMWujHoeeym4Xw4dMhjHsvhMXXCaHnHP/LTloXwoSPQ3jzvoYOjSvtGMIrdzRMFDX/CiH0nD3Oz+iwbOg976zh9bHjw/KfDg/z1M3oA/JBaf7w6NSVw+TQNcxZ913Yoetj5bZxpdnC5V1/Gnr16BbmnrVH+G7y1DDLuDdDffdZw6w9u4d3Js0RFp1ntjBb97owa9f6MEvXUgxq6BqmTKtUO+scIUz8IvSY9FX4bu5lQ9epk0Lo3its/N6FDcbwxFzbhJXHjQqz100zv4wPs8XnPHKen4e+R1xc1buqyYSCfBFvvDHNUWeNNdaIkRebb7559IHo3bt3+Mtf/hL+/Oc/hyuuuCIsvfTS4YQTTog5JV5++eWo8gREiUAWWLVMnjw57L///tFJ85prptE+Br7CCivE0NFjjz02vPjii+GXv/xlOPvss6uO8nBC4egIKDKh4KU266yzhptuuqm86AADBgwI48aNC7feemumczWb/X8MARl/3Bxhzp4tVajb0RFQ361X6DKlDcqod+sVwpr7hvBEG6Yl2Or0EO45PnQEjFz6/0LfX5xY1buqyXQdzQIEQkCdqZcEWohjjjkm5qpA8PPS2GijjWKYqMgEICz0sMMOC3379o3RHbvttlvMXSFABNBaDBw4MGox5p9//pgsy0NGHY6Og88//zxMnTo108E6T9OIc/Upp5wyw/7ne60XZp8lv+hSY0BVjYrf2qlbAjgz9uretRxlwHc0IfVde4YuC68aSh8+HVXT0pKgNsfhknFQ04JVJzRpwgJrhO+/GhvmmWuOMPWLt8O8PerDuFKv0L17j9Bt6qQwcXJ9+G7xjULd+4/FWhFTvv8mhC5dQ6jrFp3puq66a5i/7usw9vl7ww+hW4zYWHTRxcJHYz8Jc8w+GyVLw9cTvg5zzDlX+OG7b8OU7iQVnCd8+fHbYaH55g4LLrxE+ODLb8K7X34f1t1ws6hJePzRUWGROXqEpZdbOV7rvVeeDl9/9VlYceklQ5hlzvDDlKlh6sTxYbZFlg9vv/lqmDBhfFh1uR9F+//3E78Ncy6w+DSH0i7dY9RK/ddjQ09Wy6yQV+ofwrefh/DZqyEsvUkIrw0PgeiVORcJ4YeJIay0Q+gyxyIhvHhzCN+MDaGuawjzLh3C6nuE8Oy/Qvj4+RC6zRJCj9lDmPxdCN1nCWESOSLqQlikTwi91w/hjREhfPVOCF27T0srPcvc0zQNXbqHMOu0MM7w/dchrLJzCLMvHEKveUP47stp1+o5ewhduk2ro1LXJYSuPaed22ueECZ+OU1zsfja08bCuHvMFsKs84Uw74+maTB6zBq1APE8xhr/7j5NizH3kiGsuV8Ii645Tfvxyn9CGPduCPMuE/1hmGtMNnWL9gmzT/4yTPzgxbjwnvD9pBj10r1LCN3mWChMnvx9qK/rHnpO+iJMwHemS9cwqb5r+L6+S+jWrXuor+sWunbtEkrffx01/VN7zR9KX38U6rv0CF0mTwxTe8weSnXdQvcf/ST88Pp98X5LXbqHXitsESa+8WDo9u2nob7bLGG5zfYJIZzY+iaPWoZrKBwdAUXWUHz00UdhscUWC4888kjYYIMNyvtZdIwaNaocJl6VhqLA8+RwdARZ2ioaCofD4agGaBa7du2a6WDtztUOR/FQmLBRh8NRWyAxHSbLESNGlPfhlMl3q7FwOBzFgGsoHA5HqwEfK/yrcLped911Y9goPlY4YjscjmLBCYXD4Wg17LHHHuGzzz6LTtVkuSUfDU7aqaOmw+Ho+CisUyYOJNQMcThqGURCufNw4/+PyXzrTpkOR9tDjtHVvKsKq6H44oumlV11ONoDEyZMcEJRxf9jr83jcNT+u6qwhIJEW+C9997zF/ZMsFFfEbbunKEY5D8omWEd+fD/x60L///euvi6APPblHdVYQkFCbMAL6GO+iDbE8yZz1vrzpkLyMbh/4/bBv7/vXUxZwef32rfVR426nA4HA6Ho9lwQuFwOBwOh6PZKCyhINveSSed5Fn3mgift6bD56z14HPbuvD5bV307GTzW9iwUYfD4XA4HG2HwmooHA6Hw+FwtB2cUDgcDofD4Wg2nFA4HA6Hw+FoNpxQOBwOh8PhaDacUDgcDofD4Wg2CkkoLrjggrDUUkuFWWaZJay33nrhiSeeCJ0ZJ598cqirq2uwrbjiiuX277//PgwcODDMN998YfbZZw+77bZb+OSTTxr0Qerj7bffPsw666xhwQUXDEcffXSYMmVKKAoeeOCB0L9//5helvm55ZZbGrQTDEXFzEUWWST06tUr9OvXL7z++usNjvnyyy/D3nvvHTPiUdDqgAMOCN98802DY0aPHh023njj+NskJe8ZZ5zRJvfXEeH/j2v7t9xZMXjw4LDOOuuEOeaYI74Ld9555/Dqq682OKbTvlNLBcN1111X6tGjR+myyy4rvfTSS6UDDzywNPfcc5c++eSTUmfFSSedVFpllVVKH3/8cXn77LPPyu0HH3xwaYklliiNGDGi9NRTT5XWX3/90oYbblhunzJlSmnVVVct9evXr/Tss8+W7rzzztL8889fGjRoUKko4J7+8Ic/lG6++WbCqEvDhg1r0P7nP/+5NNdcc5VuueWW0vPPP1/acccdS0svvXTpu+++Kx+zzTbblPr06VN67LHHSg8++GBp2WWXLf385z8vt48fP7600EILlfbee+/Siy++WLr22mtLvXr1Kl188cVteq8dAf7/uLZ/y50ZW2+9denyyy+P/4efe+650nbbbVfq3bt36Ztvvil19ndq4QjFuuuuWxo4cGD5+9SpU0uLLrpoafDgwaXOTCh4OWRh3Lhxpe7du5duvPHG8r4xY8bEF9Gjjz4av/Nj79KlS2ns2LHlY4YMGVKac845S5MmTSoVDelLuL6+vrTwwguXzjzzzAbz1rNnz0gKwMsvvxzPe/LJJ8vH3HXXXaW6urrShx9+GL9feOGFpXnmmafBnB177LGlFVZYoY3urOPA/x/X9m/ZMR2ffvppnK9Ro0aVOvs7tVAmjx9++CE8/fTTUYVniwvx/dFHHw2dGag0UYH+6Ec/iqpM1G2A+Zo8eXKDOcMc0rt37/Kc8bnaaquFhRZaqHzM1ltvHSvpvfTSS6HoePvtt8PYsWMbzBHFclDD2zlCNbz22muXj+F4fn+PP/54+ZhNNtkk9OjRo8E8oi796quv2vSeahn+/7j2f8uO6Rg/fnyDyrhPd+J3aqEIxeeffx6mTp3a4CEBvvOfqLOCl8XQoUPD8OHDw5AhQ+JLBTs+JWmZFwQcL5C8OeMza07VVnToHiv9rvjEDmrRrVu3+JLxeWwa/P9x7f+WHdNQX18fjjjiiPCTn/wkrLrqqnFfZ36nFrZ8uWM6tt122/Lfq6++eiQYSy65ZLjhhhuiU5bD4XA4mg4cL1988cXw0EMPtfdQagKF0lDMP//8oWvXrjN40/J94YUXbrdx1Rpgzssvv3x444034rygYh43blzunPGZNadqKzp0j5V+V3x++umnDdrx2MZb3uexafD/x7X/W3aEcNhhh4U77rgj3HfffWHxxRcv7+/M79RCEQrUTGuttVYYMWJEA5UU3zfYYIN2HVstgfCvN998M4aNMV/du3dvMGfY9PGx0Jzx+cILLzR4ydx7770xpGzllVcORcfSSy8d/5PbOcLWiT3ZzhEvEOynwsiRI+PvD42QjiGkD/uqnccVVlghzDPPPG16T7UM/39c+7/lzgx8XSETw4YNi/PCnFqs1ZnfqaUChpvhsTx06NDorXzQQQfFcDPrTdvZ8Lvf/a50//33l95+++3Sww8/HEOVCFHCO1khToQ9jRw5MoY4bbDBBnFLQ5y22mqrGCY1fPjw0gILLNDhQ5wsJkyYEMO32PhvcdZZZ8W/33333XKoHb+jW2+9tTR69OjSTjvtlBlqt8Yaa5Qef/zx0kMPPVRabrnlGoTa4f1N2Oi+++4bQ874rc4666weNpoB/39c27/lzoxDDjkkht3yTrWh+BMnTiwf01nfqYUjFOC8886LD5M4dsLPiKXuzNhjjz1KiyyySJyPxRZbLH5/4403yu28SA499NAY0oiA22WXXeJ/EIt33nmntO2228a8CZARSMrkyZNLRcF9990XX77pNmDAgHK43QknnBAJAYKub9++pVdffbVBH1988UV86c4+++wx/Gv//fePL3cL4v432mij2AfPgpe7Ixv+/7i2f8udFVlzy3b55ZeXOvs7tY5/2ltL4nA4HA6Ho2OjUD4UDofD4XA42gdOKBwOh8PhcDQbTigcDofD4XA0G04oHA6Hw+FwNBtOKBwOh8PhcDQbTigcDofD4XA0G04oHA6Hw+FwNBtOKBwOh8PhcDQbTigcDofD4XA0G04oHA6Hw+FwNBtOKBwOh8PhcITm4v8BLWhx399+PwkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(221), plt.imshow(img, 'gray')\n",
    "plt.subplot(222), plt.imshow(mask, 'gray')\n",
    "plt.subplot(223), plt.imshow(masked_img, 'gray')\n",
    "plt.subplot(224), plt.plot(hist_full), plt.plot(hist_mask)\n",
    "plt.xlim([0, 256])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "144c2a19",
   "metadata": {},
   "source": [
    "##### 直方图均衡化  \n",
    "以灰度图为例，根据不同灰度值的像素个数计算统计概率（从最小灰度开始），再根据累计概率乘总范围并取整即可"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "240f0f8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAicAAAGdCAYAAADJ6dNTAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjYsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvq6yFwwAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHnVJREFUeJzt3XuMFVfhB/CzQIE+6LYUhVKgW01bs32AwoL4SMCSUmzQUjVojFJiaKxgVGwN/CFooqG+CNGQEjWI/cMW+aM0lpZo6QNbaVlAtBXblIZWbMurTVmgFsru/eXMz13Z8tpl7+49c+fzSYbduTvMPfeeOzPfe+acmZpSqVQKAACJ6FXpAgAAHEs4AQCSIpwAAEkRTgCApAgnAEBShBMAICnCCQCQFOEEAEhKn5AzLS0t4dVXXw0DBgwINTU1lS4OANAB8ZqvBw4cCEOHDg29evWqrnASg8nw4cMrXQwA4Azs3LkzDBs2rDrCydKlS7Pp6NGjbS/u/PPPr3SxAIAOaGpqyhoX4pmP06nJ27114ourra0N+/fvF04AoAqP3zrEAgBJEU4AgKQIJwBAUoQTACApwgkAkJTchJM4jLi+vj40NDRUuigAQDcylBgA6HaGEgMAuSWcAABJEU4AgKQIJwBAUoQTACApwgkAkBThpGDq5q3JJgBIVW7CiYuwAUAx5CaczJ49O2zbti00NjZWuigAQDfKTTgBAIpBOAEAkiKcAABJEU4AgKQIJwBAUoQTACApwgkAkBThBABIinACACRFOAEAkiKcAABJyU04ceM/ACiG3IQTN/5rr27emmwCgGqTm3ACABSDcAIAJEU4AQCSIpwAAEkRTgCApAgnAEBShBMAICnCCQCQFOEEAEiKcAIAJEU4AQCSIpwAAEkRTgCApAgnAEBShBMAICkVCydvvfVWuPTSS8Ptt99eqSIAAAmqWDj54Q9/GD784Q9X6ukBgERVJJy88MIL4bnnngtTpkypxNMDANUUTtavXx+mTp0ahg4dGmpqasLq1auPW2bp0qWhrq4u9O/fP4wbNy5s3Lix3d/jqZxFixZ1reQAQFXqdDg5dOhQGDlyZBZATmTlypVh7ty5YeHChWHLli3ZspMnTw579uzJ/n7//feHK664IpsAAN6tT+ikeCrmVKdjFi9eHGbNmhVmzpyZzS9btiysWbMmLF++PMybNy889dRT4d577w2rVq0KBw8eDO+88044//zzw4IFC064vsOHD2dTq6amps4WGQAoap+TI0eOhM2bN4dJkyb97wl69crmN2zYkM3H0zk7d+4ML730UvjpT3+aBZmTBZPW5Wtra9um4cOHl7PIAEA1h5N9+/aF5ubmMHjw4HaPx/ldu3ad0Trnz58f9u/f3zbFYAMAVK9On9Ypp1tuueW0y/Tr1y+bAIBiKGvLyaBBg0Lv3r3D7t272z0e54cMGdKldccOuPX19aGhoaGLpQQAChNO+vbtG0aPHh3WrVvX9lhLS0s2P378+C6te/bs2WHbtm2hsbGxDCUFAKrmtE4cYbN9+/a2+R07doStW7eGgQMHhhEjRmTDiGfMmBHGjBkTxo4dG5YsWZINP24dvQMAUNZwsmnTpjBx4sS2+RhGohhIVqxYEaZPnx727t2bjcCJnWBHjRoV1q5de1wnWQCAsoSTCRMmhFKpdMpl5syZk03lFPucxCmOBgIAqlfFbvzXWfqcAEAx5CacAADFIJwAAEkRTgCApOQmnLgIGwAUQ27CiQ6xAFAMuQknAEAxCCcAQFKEEwAgKbkJJzrEAkAx5Cac6BALAMWQm3ACABSDcAIAJEU4AQCSIpwAAEnJTTgxWgcAiiE34cRoHQAohtyEEwCgGIQTACApwgkAkBThBABIinACACQlN+HEUGIAKIbchBNDiQGgGHITTgCAYhBOAICkCCcAQFKEEwAgKcIJAJAU4QQASIpwAgAkJTfhxEXYAKAYchNOXIQNAIohN+EEACgG4QQASIpwAgAkRTgBAJIinAAASRFOAICkCCcAQFKEEwAgKcIJAJAU4QQASIpwAgAkJTfhxI3/AKAYchNO3PiPd6ubtyabAKguuQknkEfCE0DnCScAQFKEEzhDTisBdA/h5F0cbACgsoQTACApwgkAkBThBICq4vR8/gknAEBShBMAICnCCQCQFOGkijnv2nNc8wTSYpvMN+EEgFwTRKqPcEJhdHUHZgcI0DOEE3JBMAAoDuEEACh2OHnzzTfDmDFjwqhRo8LVV18dfvWrX/V0EQCAhPXp6SccMGBAWL9+fTjnnHPCoUOHsoBy8803h4suuqiniwIAJKjHW0569+6dBZPo8OHDoVQqZRNp0tcDgOTDSWz1mDp1ahg6dGioqakJq1evPm6ZpUuXhrq6utC/f/8wbty4sHHjxuNO7YwcOTIMGzYs3HHHHWHQoEFdexUAQHHDSTwVE4NFDCAnsnLlyjB37tywcOHCsGXLlmzZyZMnhz179rQtc8EFF4S//e1vYceOHeF3v/td2L17d9deRcFp3cgH9QTQTeFkypQp4Qc/+EGYNm3aCf++ePHiMGvWrDBz5sxQX18fli1blp3GWb58+XHLDh48OAsvf/7zn0/6fPHUT1NTU7sJAKheZe1zcuTIkbB58+YwadKk/z1Br17Z/IYNG7L52Epy4MCB7Pf9+/dnp4muvPLKk65z0aJFoba2tm0aPnx4OYtMldJKAZBfZQ0n+/btC83NzVmLyLHi/K5du7LfX3755fDxj388azGJP7/+9a+Ha6655qTrnD9/fhZiWqedO3eWs8hADxIagSSHEo8dOzZs3bq1w8v369cvm6C7xIPlS3feWOliANAdLSdx1E0cKvzuDq5xfsiQIV1ad+yAG/uwNDQ0dLGUABSF1rp8Kms46du3bxg9enRYt25d22MtLS3Z/Pjx47u07tmzZ4dt27aFxsbGMpQUAKia0zoHDx4M27dvb5uPw4HjaZqBAweGESNGZMOIZ8yYkV2iPp7CWbJkSTb8OI7eAQAoezjZtGlTmDhxYtt8DCNRDCQrVqwI06dPD3v37g0LFizIOsHGe+isXbv2uE6yAABlCScTJkw47eXm58yZk03lFPucxCmOBgIAqleP31vnTOlzAkA56CSbvh4fSgx5Z6cG0L1y03ICPck3K0jTmW6Xtul8yU04cZ0Tqo0dJZSXAFI9chNO9DkBgGLQ5wSA5LS2gLTeWkKLSLHkpuWE7qdJlCLyuYf0CCdVzo4XgLzJTTjRIRYAiiE34USHWAAoBh1iK9Cxi2JxWu3kbBucju2nmIQTbPxd5P0DKOhpHagEwQOqlwED6dJyQmHZKaXJqR5Ox2ek+uWm5cRoHQAohtyEE6N1yAPNxAAFCicAQDHocwI9TMsKwKkJJ1RV5zYHfoD8E04ohI6GFuHmzL37vTOSAjhT+pwAhXWqMCqoQuUIJ5yUnTMAlZCbcOI6JwBQDH3ydJ2TODU1NYXa2tpQjVz1sGO06HDsZ6Hc24vPF1ReblpOgHyp1AXpXAgP8k84AXJNGKk+6hPhhA5xAKhuPVG/Pj9ARwknAEBShJNO0oJAd/L5Kh51DscTTqgadvDQ/UFJmKInCCcAQFL65OkibHFqbm6udFGooM5+Y8vzN7yeuO5NHt6fE13L5ETl7shjrevJw+suAtd2IvctJ/ECbNu2bQuNjY2VLgoAJ+CUD4VrOYHuZIea3rdadZKGSn8OKCbhhOM4KABQScIJJEAgBMhhnxOAnqYPRTGo5/QIJ5Rtg7aBF4e6xmeA7iScAFBRgg7vJpwAAEnRIRYS5FtkWu+r4bTQs7SckOTBUzMvVJ5tkErRckKX2YEBUE7CSUFppiaPn5VKB+GU3guoZrkJJ278l++dekfY8QOQqz4nbvyXHye7O+yZBCR9TwCKJzfhBKg8YZF383mg0Kd1qD52agCciJYTKIjuaPXQkgJ0B+GkCqVwwEihDHSeOitmvdpeSY1wQo+yAyyejhz4fC4qx3tPivQ5ocfZGXIiPhdAK+EEgB4PisIop+K0Tg7YiAEoEuEE6BAhuTwq3fm0p5+/0q+32stbrZzWAeiCdx/I3H4Buk44AaDHaJWgI5zWgYJxcABSJ5wAJNBvQWisPHWQDqd1AApwIKz0gbfSz0++aDmBAn4LNyKha86kPrzfkHA42blzZ5gwYUKor68P1157bVi1alVPFwFyz8EuH9RTfqm7gp3W6dOnT1iyZEkYNWpU2LVrVxg9enT45Cc/Gc4999yeLgrkSuuO8tihqid6DCrN55LchZOLL744m6IhQ4aEQYMGhTfeeEM4AQDO7LTO+vXrw9SpU8PQoUNDTU1NWL169XHLLF26NNTV1YX+/fuHcePGhY0bN55wXZs3bw7Nzc1h+PDhnS0GAFClOh1ODh06FEaOHJkFkBNZuXJlmDt3bli4cGHYsmVLtuzkyZPDnj172i0XW0u+/OUvh1/+8pdnXnoAKk7/DCp+WmfKlCnZdDKLFy8Os2bNCjNnzszmly1bFtasWROWL18e5s2blz12+PDhcNNNN2XzH/nIR075fHHZOLVqamrqbJEBgKKO1jly5Eh2qmbSpEn/e4JevbL5DRs2ZPOlUinccsst4ROf+ET40pe+dNp1Llq0KNTW1rZNTgEBQHUrazjZt29f1odk8ODB7R6P83FkTvTkk09mp35iX5U4YidOzzzzzEnXOX/+/LB///62KQ5FBkiV0xuQw9E6H/vYx0JLS0uHl+/Xr182ASdn6CZ0/zZm+8ppy0kcFty7d++we/fudo/H+ThsuCtiB9x44baGhoaQZzqOAUAPhpO+fftmF1Vbt25d22OxlSTOjx8/vkvrnj17dti2bVtobGwsQ0kBgKo5rXPw4MGwffv2tvkdO3aErVu3hoEDB4YRI0Zkw4hnzJgRxowZE8aOHZtdDTYOP24dvQMAUNZwsmnTpjBx4sS2+RhGohhIVqxYEaZPnx727t0bFixYkHWCjR1e165de1wnWaD8nDIEChlO4k374nDgU5kzZ042lVPscxKnOBoIAKhePX5X4jOlzwkAFENuwgnQOUaGAXklnAAASclNOKmW65wAAFUSTvQ5AYBiyE04AaBj9Dci74QTgEQIFfD/hBMAICm5CSdF7xDrGxUARdHpK8RWskNsnJqamkJtbW2liwOQPF9oyKvctJwAAMUgnABAD3B6vuOEE4AccYCjCHLT5wSAUxNaqBa5aTkp+mgdACiK3IQTl68HgGLITTgB4Hj6oKRBPZSXcAKQkwOdgx9FIZwAAEkRTgCApAgnAEBShBMAICm5CSfVep0TPbwBqpd9fJWHE9c5AYBiyE04AYBK0grSc9xbByCHHCSpZlpOAICkCCc559sTANVGOAGAbuaLZOcIJwBAUnSIBUicb91p18tLd95Y6aJUnT55ughbnJqbmytdFABo4w7SBT6t4yJsAFAMuQknAEAxCCcAQFKEEwAgKcIJAJAU4QQASIpwAgAkRTgBAJKSm4uwAUAKXGCt+2k5AQCSIpwAQA+3vGh9OTXhBABISm7CSbzpX319fWhoaKh0UQCAbpSbcOLGfwBQDEbr5IzzlABUu9y0nAAAxSCcAABJEU4AgKQIJwBAUoQTACApwgkAkBThBABIinACACRFOAEAkiKclIkrtwJAeQgnAEBShBMAICnCCQCQFOEEAEhKRcLJtGnTwoUXXhg++9nPVuLpk6RDLQBUMJx84xvfCHfffXclnhoASFxFwsmECRPCgAEDKvHUAEC1hZP169eHqVOnhqFDh4aampqwevXq45ZZunRpqKurC/379w/jxo0LGzduLFd5AYAq1+lwcujQoTBy5MgsgJzIypUrw9y5c8PChQvDli1bsmUnT54c9uzZU47yAgBVrk9n/8OUKVOy6WQWL14cZs2aFWbOnJnNL1u2LKxZsyYsX748zJs3r9MFPHz4cDa1ampq6vQ6AICC9jk5cuRI2Lx5c5g0adL/nqBXr2x+w4YNZ7TORYsWhdra2rZp+PDhoQgjd4zeAaCoyhpO9u3bF5qbm8PgwYPbPR7nd+3a1TYfw8rnPve58OCDD4Zhw4adMrjMnz8/7N+/v23auXNnOYsMAOT9tE45PPzwwx1etl+/ftkEABRDWVtOBg0aFHr37h12797d7vE4P2TIkC6tO3bAra+vDw0NDV0sJQBQmHDSt2/fMHr06LBu3bq2x1paWrL58ePHd2nds2fPDtu2bQuNjY1lKCkAUDWndQ4ePBi2b9/eNr9jx46wdevWMHDgwDBixIhsGPGMGTPCmDFjwtixY8OSJUuy4ceto3cAAMoaTjZt2hQmTpzYNh/DSBQDyYoVK8L06dPD3r17w4IFC7JOsKNGjQpr1649rpMsAEBZwkm89HypVDrlMnPmzMmmcop9TuIURwMBQFHU/ffSEi/deWMoiorcW+dM6HMCAMWQm3ACABSDcAIAJCU34cR1TgCgGHITTvQ5AYBiyE04AQCKQTgBAJIinAAASclNOMlTh9h4wZzWi+YAAFUaTnSIBYBiyE04AQCKQTgBAJIinAAASRFOAICk5CacVHK0jtE3AKR8nKmrsuNUbsKJ0ToAUAy5CScAQDEIJwBAUoQTACApwgkAkBThBABISm7CSZ5u/AcA5Rj+W9fJ4cHVMqQ4N+HEUGIAKIbchBMAoBiEEwAgKcIJAJAU4QQASIpwAgAkRTgBAJIinAAASRFOAICk9Ak5ukJsnJqbm0NeVMNV+gDI53Gj7r/reunOG0Pe5KblxBViAaAYchNOAIBiEE4AgKQIJwBAUoQTACApwgkAkBThBABIinACACRFOAEAkiKcAABJEU4AgKQIJwBAUnITTuJN/+rr60NDQ0OliwIAPa5u3prC3FA2N+HEjf8AoBhyE04AgGIQTgCApAgnAEBShBMAICnCCQCQFOEEAEiKcAIAJEU4AQCSIpwAAEkRTgCApAgnAEBShBMAICnCCQCQFOEEAEiKcAIAJKUi4eSBBx4IV155Zbj88svDr3/960oUAQBIVJ+efsKjR4+GuXPnhkcffTTU1taG0aNHh2nTpoWLLrqop4sCACSox1tONm7cGK666qpwySWXhPPOOy9MmTIl/PGPf+zpYgAA1RJO1q9fH6ZOnRqGDh0aampqwurVq49bZunSpaGuri70798/jBs3LgskrV599dUsmLSKv7/yyitdeQ0AQJHDyaFDh8LIkSOzAHIiK1euzE7bLFy4MGzZsiVbdvLkyWHPnj1nVMDDhw+HpqamdhMAUL063ecknoaJ08ksXrw4zJo1K8ycOTObX7ZsWVizZk1Yvnx5mDdvXtbicmxLSfx97NixJ13fokWLwve///2Qqrp5a3r0/wHA6Y4jXT02vXTnjaFq+pwcOXIkbN68OUyaNOl/T9CrVza/YcOGbD4GkWeffTYLJQcPHgwPPfRQ1rJyMvPnzw/79+9vm3bu3FnOIgMA1TxaZ9++faG5uTkMHjy43eNx/rnnnvv/J+zTJ/zsZz8LEydODC0tLeE73/nOKUfq9OvXL5sAgGLo8aHE0ac+9alsAgDo1tM6gwYNCr179w67d+9u93icHzJkSJfWHTvg1tfXh4aGhi6WEgAoTDjp27dvdlG1devWtT0WT93E+fHjx3dp3bNnzw7btm0LjY2NZSgpAFA1p3ViJ9bt27e3ze/YsSNs3bo1DBw4MIwYMSIbRjxjxowwZsyYrPPrkiVLsuHHraN3AADKGk42bdqUdWZtFcNIFAPJihUrwvTp08PevXvDggULwq5du8KoUaPC2rVrj+skCwBQlnAyYcKEUCqVTrnMnDlzsqmcYp+TOMXRQABA9arIXYnPhD4nAFAMuQknAEAxCCcAQFJyE05c5wQAiiE34USfEwAohtyEEwCgGIQTACApFbnxX1e0XmOlqampW9bfcvit49YdH2t9zmN/P/ZvJ3vsWMf+/4443fq6urwyde9r6Mj/qYb3R5nSKFPRXq8yhU6XqSPefYwrp9Z1nu5aaVFNqSNLJaD1ImxHjhwJL774YqWLAwCcgZ07d4Zhw4ZVRzg59kaCr776ahgwYECoqakpe6obPnx49sadf/75ZV03XaNu0qVu0qRe0lXUuimVSuHAgQNh6NChoVevXtV1Wie+oNMlrq6KH5YifWDyRN2kS92kSb2kq4h1U1tb26HldIgFAJIinAAASRFOjtGvX7+wcOHC7CdpUTfpUjdpUi/pUjenl7sOsQBAddNyAgAkRTgBAJIinAAASRFOAICkCCf/FS+NX1dXF/r37x/GjRsXNm7cWOkiFc73vve97Kq/x04f+MAH2v7+9ttvh9mzZ4eLLroonHfeeeEzn/lM2L17d0XLXK3Wr18fpk6dml3JMdbD6tWr2/099qNfsGBBuPjii8PZZ58dJk2aFF544YV2y7zxxhvhi1/8YnaRqQsuuCB85StfCQcPHuzhV1K8urnllluO245uuOGGdsuom/JbtGhRaGhoyK5e/t73vjfcdNNN4fnnn2+3TEf2Yf/617/CjTfeGM4555xsPXfccUc4evRoKBrhJISwcuXKMHfu3Gxo15YtW8LIkSPD5MmTw549eypdtMK56qqrwmuvvdY2PfHEE21/+9a3vhX+8Ic/hFWrVoXHH388u43BzTffXNHyVqtDhw5l20EM7Sfy4x//OPz85z8Py5YtC08//XQ499xzs20m7nxbxYPfP/7xj/CnP/0pPPDAA9lB9dZbb+3BV1HMuoliGDl2O7rnnnva/V3dlF/cJ8Xg8dRTT2Xv6zvvvBOuv/76rL46ug9rbm7OgsmRI0fCX/7yl/Db3/42rFixIvsiUDhxKHHRjR07tjR79uy2+ebm5tLQoUNLixYtqmi5imbhwoWlkSNHnvBvb775Zumss84qrVq1qu2xf/7zn3EYfGnDhg09WMriie/xfffd1zbf0tJSGjJkSOknP/lJu/rp169f6Z577snmt23blv2/xsbGtmUeeuihUk1NTemVV17p4VdQnLqJZsyYUfr0pz990v+jbnrGnj17svf58ccf7/A+7MEHHyz16tWrtGvXrrZl7rrrrtL5559fOnz4cKlICt9yEhPq5s2bs2bpY+/fE+c3bNhQ0bIVUTw1EJur3/e+92Xf7mITZxTrKH4TObae4imfESNGqKcetmPHjrBr1652dRHvlxFPh7bWRfwZTxeMGTOmbZm4fNy2YksL3euxxx7LTglceeWV4bbbbguvv/5629/UTc/Yv39/9nPgwIEd3ofFn9dcc00YPHhw2zKxRTLeKDC2dBVJ4cPJvn37sqa0Yz8MUZyPO2B6Tjy4xSbMtWvXhrvuuis7CH784x/P7mIZ66Jv377ZTvVY6qnntb7fp9pm4s94cDxWnz59sh21+upe8ZTO3XffHdatWxd+9KMfZacPpkyZku3nInXT/VpaWsI3v/nN8NGPfjRcffXV2WMd2YfFnyfarqKi1U3u7kpM9Yo70FbXXnttFlYuvfTS8Pvf/z7rdAmc3uc///m23+O38Lgtvf/9789aU6677rqKlq0oYt+TZ599tl2fOTqn8C0ngwYNCr179z6ux3ScHzJkSMXKRci+YVxxxRVh+/btWV3EU3Bvvvlmu2XUU89rfb9Ptc3En+/uUB5HHMRRIuqrZ8VTpHE/F7ejSN10rzlz5mSdjB999NEwbNiwtsc7sg+LP0+0XUVFq5vCh5PYzDZ69OisCfTYJrk4P378+IqWreji0MYXX3wxG64a6+iss85qV09xmF7sk6KeetZll12W7SiPrYt4Tjz2V2iti/gz7oTjefZWjzzySLZtxRYxes6///3vrM9J3I4iddM9Yv/kGEzuu+++7P2M28mxOrIPiz+feeaZduExjvyJQ77r6+tDoVS6R24K7r333mykwYoVK7Ke7LfeemvpggsuaNdjmu737W9/u/TYY4+VduzYUXryySdLkyZNKg0aNCjr9R599atfLY0YMaL0yCOPlDZt2lQaP358NlF+Bw4cKP31r3/NpribWLx4cfb7yy+/nP39zjvvzLaR+++/v/T3v/89Gx1y2WWXlf7zn/+0reOGG24offCDHyw9/fTTpSeeeKJ0+eWXl77whS9U8FVVf93Ev91+++3Z6I+4HT388MOlD33oQ9l7//bbb7etQ92U32233Vaqra3N9mGvvfZa2/TWW2+1LXO6fdjRo0dLV199den6668vbd26tbR27drSe97zntL8+fNLRSOc/NcvfvGL7EPTt2/fbGjxU089VekiFc706dNLF198cVYHl1xySTa/ffv2tr/HA9/Xvva10oUXXlg655xzStOmTcs2fsrv0UcfzQ58757iMNXW4cTf/e53S4MHD86C/XXXXVd6/vnn263j9ddfzw545513XjYUcubMmdnBk+6rm3ggjAe2eECLw1YvvfTS0qxZs477oqVuyu9EdRKn3/zmN53ah7300kulKVOmlM4+++zsy1n80vbOO++UiqYm/lPp1hsAgFaF73MCAKRFOAEAkiKcAABJEU4AgKQIJwBAUoQTACApwgkAkBThBABIinACACRFOAEAkiKcAABJEU4AgJCS/wOvhNrVqsjgPAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread(os.path.join(IMAGE_ROOT, 'xibeilaohan.png'), 0)\n",
    "img = cv2.resize(img, None, fx=0.5, fy=0.5)\n",
    "plt.hist(img.ravel(), 256)\n",
    "plt.yscale('log') # 关键一步：将纵轴设置为对数尺度\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "18450f6b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 均衡化\n",
    "equ = cv2.equalizeHist(img)\n",
    "plt.hist(equ.ravel(), 256)\n",
    "plt.yscale('log') # 关键一步：将纵轴设置为对数尺度\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "56a18ad5",
   "metadata": {},
   "outputs": [],
   "source": [
    "res = np.hstack((img, equ))\n",
    "cv_show(\"res\", res)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02fd7fd6",
   "metadata": {},
   "source": [
    "##### 自适应直方图均衡化  \n",
    "为了预防整体均衡化导致的部分图像区域细节丢失，可以对部分区域进行均衡化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "91d94c6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "clahe = cv2.createCLAHE(clipLimit = 2.0, tileGridSize = (8, 8)) # 自适应均衡化方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "68a2c81c",
   "metadata": {},
   "outputs": [],
   "source": [
    "res_clahe = clahe.apply(img)\n",
    "res = np.hstack((img, equ, res_clahe))\n",
    "cv_show(\"res\", res)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
